38145377088 has 896 divisors, whose sum is σ = 147474432000. Its totient is φ = 9393905664.

The previous prime is 38145376979. The next prime is 38145377183. The reversal of 38145377088 is 88077354183.

38145377088 is a `hidden beast` number, since 38 + 1 + 4 + 537 + 70 + 8 + 8 = 666.

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 127 ways as a sum of consecutive naturals, for example, 191685213 + ... + 191685411.

It is an arithmetic number, because the mean of its divisors is an integer number (164592000).

Almost surely, 2^38145377088 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38145377088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73737216000).

38145377088 is an abundant number, since it is smaller than the sum of its proper divisors (109329054912).

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

38145377088 is a wasteful number, since it uses less digits than its factorization.

38145377088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 316 (or 300 counting only the distinct ones).

The product of its (nonzero) digits is 4515840, while the sum is 54.

The spelling of 38145377088 in words is "thirty-eight billion, one hundred forty-five million, three hundred seventy-seven thousand, eighty-eight".