38077430196960 has 2304 divisors, whose sum is σ = 171541516124160. Its totient is φ = 7719589785600.

The previous prime is 38077430196947. The next prime is 38077430196973. The reversal of 38077430196960 is 6969103477083.

38077430196960 is a `hidden beast` number, since 3 + 8 + 0 + 7 + 7 + 430 + 196 + 9 + 6 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (38077430196947) and next prime (38077430196973).

It is a super-2 number, since 2×38077430196960² (a number of 28 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 26758558809 + ... + 26758560231.

It is an arithmetic number, because the mean of its divisors is an integer number (74453783040).

Almost surely, 2^{38077430196960} is an apocalyptic number.

38077430196960 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38077430196960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85770758062080).

38077430196960 is an abundant number, since it is smaller than the sum of its proper divisors (133464085927200).

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

38077430196960 is a wasteful number, since it uses less digits than its factorization.

38077430196960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1650 (or 1625 counting only the distinct ones).

The product of its (nonzero) digits is 41150592, while the sum is 63.

The spelling of 38077430196960 in words is "thirty-eight trillion, seventy-seven billion, four hundred thirty million, one hundred ninety-six thousand, nine hundred sixty".