38077788672 has 360 divisors, whose sum is σ = 139467783312. Its totient is φ = 9889689600.

The previous prime is 38077788659. The next prime is 38077788677. The reversal of 38077788672 is 27688777083.

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

It is not an unprimeable number, because it can be changed into a prime (38077788677) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2476047 + ... + 2491377.

Almost surely, 2^38077788672 is an apocalyptic number.

38077788672 is a gapful number since it is divisible by the number (32) 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 38077788672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69733891656).

38077788672 is an abundant number, since it is smaller than the sum of its proper divisors (101389994640).

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

38077788672 is a wasteful number, since it uses less digits than its factorization.

38077788672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15380 (or 15354 counting only the distinct ones).

The product of its (nonzero) digits is 44255232, while the sum is 63.

The spelling of 38077788672 in words is "thirty-eight billion, seventy-seven million, seven hundred eighty-eight thousand, six hundred seventy-two".