3358790400 has 432 divisors, whose sum is σ = 12891785984. Its totient is φ = 754237440.

The previous prime is 3358790389. The next prime is 3358790401. The reversal of 3358790400 is 40978533.

It is a super-2 number, since 2×3358790400² = 22562945902264320000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3358790401) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9004614 + ... + 9004986.

Almost surely, 2^3358790400 is an apocalyptic number.

3358790400 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 3358790400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6445892992).

3358790400 is an abundant number, since it is smaller than the sum of its proper divisors (9532995584).

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

3358790400 is a wasteful number, since it uses less digits than its factorization.

3358790400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 476 (or 457 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 39.

The square root of 3358790400 is about 57955.0722542902. The cubic root of 3358790400 is about 1497.5947229341.

The spelling of 3358790400 in words is "three billion, three hundred fifty-eight million, seven hundred ninety thousand, four hundred".