38618345376 has 288 divisors, whose sum is σ = 123873160320. Its totient is φ = 11764030464.

The previous prime is 38618345357. The next prime is 38618345399. The reversal of 38618345376 is 67354381683.

38618345376 is a `hidden beast` number, since 3 + 8 + 6 + 183 + 453 + 7 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10410210 + ... + 10413918.

It is an arithmetic number, because the mean of its divisors is an integer number (430115140).

Almost surely, 2^38618345376 is an apocalyptic number.

38618345376 is a gapful number since it is divisible by the number (36) 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 38618345376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61936580160).

38618345376 is an abundant number, since it is smaller than the sum of its proper divisors (85254814944).

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

38618345376 is a wasteful number, since it uses less digits than its factorization.

38618345376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3850 (or 3830 counting only the distinct ones).

The product of its digits is 8709120, while the sum is 54.

The spelling of 38618345376 in words is "thirty-eight billion, six hundred eighteen million, three hundred forty-five thousand, three hundred seventy-six".