38435904 has 224 divisors, whose sum is σ = 128016000. Its totient is φ = 11225088.

The previous prime is 38435899. The next prime is 38435941. The reversal of 38435904 is 40953483.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 651427 + ... + 651485.

It is an arithmetic number, because the mean of its divisors is an integer number (571500).

Almost surely, 2^38435904 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 38435904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64008000).

38435904 is an abundant number, since it is smaller than the sum of its proper divisors (89580096).

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

38435904 is a wasteful number, since it uses less digits than its factorization.

38435904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 38435904 is about 6199.6696686194. The cubic root of 38435904 is about 337.4781813055.

The spelling of 38435904 in words is "thirty-eight million, four hundred thirty-five thousand, nine hundred four".