3354660763200 has 252 divisors, whose sum is σ = 12550797260560. Its totient is φ = 847493176320.

The previous prime is 3354660763171. The next prime is 3354660763243. The reversal of 3354660763200 is 23670664533.

3354660763200 is a `hidden beast` number, since 3 + 3 + 5 + 4 + 6 + 6 + 0 + 7 + 632 + 0 + 0 = 666.

It is a super-2 number, since 2×3354660763200² (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 an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 5856994 + ... + 6404193.

Almost surely, 2^{3354660763200} is an apocalyptic number.

3354660763200 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3354660763200 is an abundant number, since it is smaller than the sum of its proper divisors (9196136497360).

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

3354660763200 is a wasteful number, since it uses less digits than its factorization.

3354660763200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12261234 (or 12261216 counting only the distinct ones).

The product of its (nonzero) digits is 1632960, while the sum is 45.

The spelling of 3354660763200 in words is "three trillion, three hundred fifty-four billion, six hundred sixty million, seven hundred sixty-three thousand, two hundred".