38464237746000 has 320 divisors, whose sum is σ = 150313581100800. Its totient is φ = 9324663552000.

The previous prime is 38464237745993. The next prime is 38464237746023. The reversal of 38464237746000 is 64773246483.

38464237746000 is a `hidden beast` number, since 3 + 8 + 4 + 6 + 4 + 23 + 7 + 7 + 4 + 600 + 0 = 666.

It is a super-2 number, since 2×38464237746000² (a number of 28 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 31783305 + ... + 32971304.

It is an arithmetic number, because the mean of its divisors is an integer number (469729940940).

Almost surely, 2^{38464237746000} is an apocalyptic number.

38464237746000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

38464237746000 is an abundant number, since it is smaller than the sum of its proper divisors (111849343354800).

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

38464237746000 is a wasteful number, since it uses less digits than its factorization.

38464237746000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64754652 (or 64754630 counting only the distinct ones).

The product of its (nonzero) digits is 16257024, while the sum is 54.

The spelling of 38464237746000 in words is "thirty-eight trillion, four hundred sixty-four billion, two hundred thirty-seven million, seven hundred forty-six thousand".