38377872 has 180 divisors, whose sum is σ = 123898320. Its totient is φ = 11052288.

The previous prime is 38377847. The next prime is 38377877. The reversal of 38377872 is 27877383.

It is a super-2 number, since 2×38377872² = 2945722118496768, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (38377877) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 462343 + ... + 462425.

It is an arithmetic number, because the mean of its divisors is an integer number (688324).

Almost surely, 2^38377872 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 38377872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61949160).

38377872 is an abundant number, since it is smaller than the sum of its proper divisors (85520448).

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

38377872 is a wasteful number, since it uses less digits than its factorization.

38377872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 120 counting only the distinct ones).

The product of its digits is 395136, while the sum is 45.

The square root of 38377872 is about 6194.9876513194. The cubic root of 38377872 is about 337.3082499259.

The spelling of 38377872 in words is "thirty-eight million, three hundred seventy-seven thousand, eight hundred seventy-two".