38437434564480 has 192 divisors, whose sum is σ = 151690590136800. Its totient is φ = 8785699319808.

The previous prime is 38437434564469. The next prime is 38437434564481. The reversal of 38437434564480 is 8446543473483.

38437434564480 is a `hidden beast` number, since 3 + 8 + 4 + 3 + 74 + 34 + 56 + 4 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38437434564481) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 476614375 + ... + 476695014.

Almost surely, 2^{38437434564480} is an apocalyptic number.

38437434564480 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

38437434564480 is an abundant number, since it is smaller than the sum of its proper divisors (113253155572320).

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

38437434564480 is a wasteful number, since it uses less digits than its factorization.

38437434564480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 953309421 (or 953309406 counting only the distinct ones).

The product of its (nonzero) digits is 371589120, while the sum is 63.

The spelling of 38437434564480 in words is "thirty-eight trillion, four hundred thirty-seven billion, four hundred thirty-four million, five hundred sixty-four thousand, four hundred eighty".