3378758400 has 216 divisors, whose sum is σ = 12390196560. Its totient is φ = 900956160.

The previous prime is 3378758399. The next prime is 3378758401. The reversal of 3378758400 is 48578733.

It is an interprime number because it is at equal distance from previous prime (3378758399) and next prime (3378758401).

It is a tau number, because it is divible by the number of its divisors (216).

It is a super-2 number, since 2×3378758400² = 22832016651141120000, 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 (3378758401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 163024 + ... + 182576.

Almost surely, 2^3378758400 is an apocalyptic number.

3378758400 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 3378758400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6195098280).

3378758400 is an abundant number, since it is smaller than the sum of its proper divisors (9011438160).

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

3378758400 is a wasteful number, since it uses less digits than its factorization.

3378758400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19588 (or 19563 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The square root of 3378758400 is about 58127.0883495810. The cubic root of 3378758400 is about 1500.5565934436.

The spelling of 3378758400 in words is "three billion, three hundred seventy-eight million, seven hundred fifty-eight thousand, four hundred".