38615940 has 180 divisors, whose sum is σ = 133829388. Its totient is φ = 9313920.

The previous prime is 38615933. The next prime is 38615957. The reversal of 38615940 is 4951683.

38615940 is a `hidden beast` number, since 3 + 8 + 61 + 594 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 28579716 + 10036224 = 5346^2 + 3168^2 .

It is a tau number, because it is divible by the number of its divisors (180).

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 = 38615895 and 38615904.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 195922 + ... + 196118.

Almost surely, 2^38615940 is an apocalyptic number.

38615940 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 38615940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66914694).

38615940 is an abundant number, since it is smaller than the sum of its proper divisors (95213448).

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

38615940 is a wasteful number, since it uses less digits than its factorization.

38615940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 240 (or 218 counting only the distinct ones).

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

The square root of 38615940 is about 6214.1725112842. The cubic root of 38615940 is about 338.0042831758.

It can be divided in two parts, 3861 and 5940, that added together give a square (9801 = 99²).

The spelling of 38615940 in words is "thirty-eight million, six hundred fifteen thousand, nine hundred forty".