38951640 has 384 divisors, whose sum is σ = 165110400. Its totient is φ = 7741440.

The previous prime is 38951617. The next prime is 38951657. The reversal of 38951640 is 4615983.

38951640 is a `hidden beast` number, since 3 + 8 + 9 + 5 + 1 + 640 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 38951595 and 38951604.

It is a congruent number.

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, 950020 + ... + 950060.

It is an arithmetic number, because the mean of its divisors is an integer number (429975).

Almost surely, 2^38951640 is an apocalyptic number.

38951640 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 38951640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82555200).

38951640 is an abundant number, since it is smaller than the sum of its proper divisors (126158760).

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

38951640 is a wasteful number, since it uses less digits than its factorization.

38951640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 38951640 is about 6241.1248986060. The cubic root of 38951640 is about 338.9809162515.

The spelling of 38951640 in words is "thirty-eight million, nine hundred fifty-one thousand, six hundred forty".