38734095456 has 384 divisors, whose sum is σ = 136321920000. Its totient is φ = 10682896896.

The previous prime is 38734095403. The next prime is 38734095469. The reversal of 38734095456 is 65459043783.

38734095456 is a `hidden beast` number, since 38 + 73 + 4 + 0 + 95 + 456 = 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 63 ways as a sum of consecutive naturals, for example, 8591955 + ... + 8596461.

It is an arithmetic number, because the mean of its divisors is an integer number (355005000).

Almost surely, 2^38734095456 is an apocalyptic number.

38734095456 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 38734095456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68160960000).

38734095456 is an abundant number, since it is smaller than the sum of its proper divisors (97587824544).

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

38734095456 is a wasteful number, since it uses less digits than its factorization.

38734095456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4576 (or 4548 counting only the distinct ones).

The product of its (nonzero) digits is 10886400, while the sum is 54.

The spelling of 38734095456 in words is "thirty-eight billion, seven hundred thirty-four million, ninety-five thousand, four hundred fifty-six".