38877307560 has 1344 divisors, whose sum is σ = 172816416000. Its totient is φ = 7846046208.

The previous prime is 38877307489. The next prime is 38877307613. The reversal of 38877307560 is 6570377883.

38877307560 is a `hidden beast` number, since 3 + 8 + 8 + 7 + 73 + 0 + 7 + 560 = 666.

It is a super-2 number, since 2×38877307560² (a number of 22 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 38877307497 and 38877307506.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 1690317709 + ... + 1690317731.

Almost surely, 2^38877307560 is an apocalyptic number.

38877307560 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 38877307560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86408208000).

38877307560 is an abundant number, since it is smaller than the sum of its proper divisors (133939108440).

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

38877307560 is a wasteful number, since it uses less digits than its factorization.

38877307560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 5927040, while the sum is 54.

The spelling of 38877307560 in words is "thirty-eight billion, eight hundred seventy-seven million, three hundred seven thousand, five hundred sixty".