38460864 has 112 divisors (see below), whose sum is σ = 115498880. Its totient is φ = 11197440.

The previous prime is 38460859. The next prime is 38460887. The reversal of 38460864 is 46806483.

38460864 = T₂₉₁₉ + T₂₉₂₀ + ... + T₂₉₂₇.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 47019 + ... + 47829.

It is an arithmetic number, because the mean of its divisors is an integer number (1031240).

Almost surely, 2^38460864 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 38460864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57749440).

38460864 is an abundant number, since it is smaller than the sum of its proper divisors (77038016).

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

38460864 is a wasteful number, since it uses less digits than its factorization.

38460864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 858 (or 848 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 39.

The square root of 38460864 is about 6201.6823523944. The cubic root of 38460864 is about 337.5512174671.

The spelling of 38460864 in words is "thirty-eight million, four hundred sixty thousand, eight hundred sixty-four".