3376248480 has 360 divisors, whose sum is σ = 13103113716. Its totient is φ = 818104320.

The previous prime is 3376248479. The next prime is 3376248481. The reversal of 3376248480 is 848426733.

3376248480 is a `hidden beast` number, since 3 + 37 + 62 + 484 + 80 = 666.

3376248480 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3376248479) and next prime (3376248481).

It can be written as a sum of positive squares in 2 ways, for example, as 3029841936 + 346406544 = 55044^2 + 18612^2 .

It is a tau number, because it is divible by the number of its divisors (360).

It is a super-2 number, since 2×3376248480² = 22798107597404620800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (3376248481) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1567084 + ... + 1569236.

Almost surely, 2^3376248480 is an apocalyptic number.

3376248480 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3376248480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6551556858).

3376248480 is an abundant number, since it is smaller than the sum of its proper divisors (9726865236).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3376248480 is a wasteful number, since it uses less digits than its factorization.

3376248480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2202 (or 2174 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

The square root of 3376248480 is about 58105.4944045742. The cubic root of 3376248480 is about 1500.1849371979.

The spelling of 3376248480 in words is "three billion, three hundred seventy-six million, two hundred forty-eight thousand, four hundred eighty".