38684777040 has 1200 divisors, whose sum is σ = 176436957312. Its totient is φ = 7648100352.

The previous prime is 38684777039. The next prime is 38684777051. The reversal of 38684777040 is 4077748683.

38684777040 is a `hidden beast` number, since 3 + 8 + 68 + 477 + 70 + 40 = 666.

It is a super-2 number, since 2×38684777040² (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 congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 170417407 + ... + 170417633.

Almost surely, 2^38684777040 is an apocalyptic number.

38684777040 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 38684777040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88218478656).

38684777040 is an abundant number, since it is smaller than the sum of its proper divisors (137752180272).

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

38684777040 is a wasteful number, since it uses less digits than its factorization.

38684777040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 306 (or 274 counting only the distinct ones).

The product of its (nonzero) digits is 6322176, while the sum is 54.

The spelling of 38684777040 in words is "thirty-eight billion, six hundred eighty-four million, seven hundred seventy-seven thousand, forty".