38877840 has 160 divisors (see below), whose sum is σ = 137491200. Its totient is φ = 10091520.

The previous prime is 38877833. The next prime is 38877841. The reversal of 38877840 is 4877883.

It is a super-2 number, since 2×38877840² = 3022972886131200, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (38877841) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 88341 + ... + 88779.

It is an arithmetic number, because the mean of its divisors is an integer number (859320).

Almost surely, 2^38877840 is an apocalyptic number.

38877840 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 38877840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68745600).

38877840 is an abundant number, since it is smaller than the sum of its proper divisors (98613360).

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

38877840 is a wasteful number, since it uses less digits than its factorization.

38877840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 502 (or 490 counting only the distinct ones).

The product of its (nonzero) digits is 301056, while the sum is 45.

The square root of 38877840 is about 6235.2096997615. The cubic root of 38877840 is about 338.7666967075.

The spelling of 38877840 in words is "thirty-eight million, eight hundred seventy-seven thousand, eight hundred forty".