38274406560 has 576 divisors, whose sum is σ = 150263672832. Its totient is φ = 8788082688.

The previous prime is 38274406549. The next prime is 38274406571. The reversal of 38274406560 is 6560447283.

38274406560 is a `hidden beast` number, since 3 + 82 + 7 + 4 + 4 + 0 + 6 + 560 = 666.

It is an interprime number because it is at equal distance from previous prime (38274406549) and next prime (38274406571).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 40416007 + ... + 40416953.

It is an arithmetic number, because the mean of its divisors is an integer number (260874432).

Almost surely, 2^38274406560 is an apocalyptic number.

38274406560 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 38274406560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75131836416).

38274406560 is an abundant number, since it is smaller than the sum of its proper divisors (111989266272).

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

38274406560 is a wasteful number, since it uses less digits than its factorization.

38274406560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1125 (or 1114 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The spelling of 38274406560 in words is "thirty-eight billion, two hundred seventy-four million, four hundred six thousand, five hundred sixty".