3385084534200 has 72 divisors (see below), whose sum is σ = 11368242233400. Its totient is φ = 902689208640.

The previous prime is 3385084534199. The next prime is 3385084534211. The reversal of 3385084534200 is 24354805833.

3385084534200 is a `hidden beast` number, since 3 + 38 + 5 + 0 + 84 + 534 + 2 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×3385084534200² (a number of 26 digits) 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, 940299460 + ... + 940303059.

Almost surely, 2^{3385084534200} is an apocalyptic number.

3385084534200 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3385084534200 is an abundant number, since it is smaller than the sum of its proper divisors (7983157699200).

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

3385084534200 is a wasteful number, since it uses less digits than its factorization.

3385084534200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1880602541 (or 1880602529 counting only the distinct ones).

The product of its (nonzero) digits is 1382400, while the sum is 45.

The spelling of 3385084534200 in words is "three trillion, three hundred eighty-five billion, eighty-four million, five hundred thirty-four thousand, two hundred".