3384646153920 has 112 divisors (see below), whose sum is σ = 11940279517920. Its totient is φ = 902572305408.

The previous prime is 3384646153799. The next prime is 3384646153937. The reversal of 3384646153920 is 293516464833.

3384646153920 is a `hidden beast` number, since 3 + 3 + 8 + 46 + 4 + 61 + 539 + 2 + 0 = 666.

It is a super-2 number, since 2×3384646153920² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 195862087 + ... + 195879366.

Almost surely, 2^{3384646153920} is an apocalyptic number.

3384646153920 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3384646153920 is an abundant number, since it is smaller than the sum of its proper divisors (8555633364000).

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

3384646153920 is a wasteful number, since it uses less digits than its factorization.

3384646153920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 391741479 (or 391741463 counting only the distinct ones).

The product of its (nonzero) digits is 11197440, while the sum is 54.

The spelling of 3384646153920 in words is "three trillion, three hundred eighty-four billion, six hundred forty-six million, one hundred fifty-three thousand, nine hundred twenty".