3735348480 has 288 divisors, whose sum is σ = 13716057600. Its totient is φ = 961486848.

The previous prime is 3735348473. The next prime is 3735348499. The reversal of 3735348480 is 848435373.

3735348480 is a `hidden beast` number, since 3 + 73 + 534 + 8 + 48 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1000377 + ... + 1004103.

It is an arithmetic number, because the mean of its divisors is an integer number (47625200).

Almost surely, 2^3735348480 is an apocalyptic number.

3735348480 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 3735348480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6858028800).

3735348480 is an abundant number, since it is smaller than the sum of its proper divisors (9980709120).

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

3735348480 is a wasteful number, since it uses less digits than its factorization.

3735348480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3786 (or 3766 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The square root of 3735348480 is about 61117.4973309608. The cubic root of 3735348480 is about 1551.5902485796.

The spelling of 3735348480 in words is "three billion, seven hundred thirty-five million, three hundred forty-eight thousand, four hundred eighty".