3358738800 has 90 divisors (see below), whose sum is σ = 11655769112. Its totient is φ = 895662720.

The previous prime is 3358738793. The next prime is 3358738811. The reversal of 3358738800 is 88378533.

It is a happy number.

3358738800 is a `hidden beast` number, since 33 + 587 + 38 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (90).

It is a super-2 number, since 2×3358738800² = 22562252653250880000, which contains 22 as substring.

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 17 ways as a sum of consecutive naturals, for example, 462892 + ... + 470091.

Almost surely, 2^3358738800 is an apocalyptic number.

3358738800 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3358738800 is an abundant number, since it is smaller than the sum of its proper divisors (8297030312).

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

3358738800 is a wasteful number, since it uses less digits than its factorization.

3358738800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 933007 (or 932993 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The square root of 3358738800 is about 57954.6270801564. The cubic root of 3358738800 is about 1497.5870538753.

The spelling of 3358738800 in words is "three billion, three hundred fifty-eight million, seven hundred thirty-eight thousand, eight hundred".