38407464 has 48 divisors (see below), whose sum is σ = 105050400. Its totient is φ = 12675744.

The previous prime is 38407463. The next prime is 38407469. The reversal of 38407464 is 46470483.

It is a super-2 number, since 2×38407464² = 2950266581822592, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (38407463) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4827 + ... + 10005.

It is an arithmetic number, because the mean of its divisors is an integer number (2188550).

Almost surely, 2^38407464 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 38407464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52525200).

38407464 is an abundant number, since it is smaller than the sum of its proper divisors (66642936).

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

38407464 is a wasteful number, since it uses less digits than its factorization.

38407464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5294 (or 5287 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The square root of 38407464 is about 6197.3755735795. The cubic root of 38407464 is about 337.3949236678.

The spelling of 38407464 in words is "thirty-eight million, four hundred seven thousand, four hundred sixty-four".