38400736 has 48 divisors (see below), whose sum is σ = 83220480. Its totient is φ = 17297280.

The previous prime is 38400679. The next prime is 38400737. The reversal of 38400736 is 63700483.

It is a super-3 number, since 3×38400736³ (a number of 24 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 38400698 and 38400707.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38400737) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 44275 + ... + 45133.

It is an arithmetic number, because the mean of its divisors is an integer number (1733760).

Almost surely, 2^38400736 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 38400736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41610240).

38400736 is an abundant number, since it is smaller than the sum of its proper divisors (44819744).

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

38400736 is a wasteful number, since it uses less digits than its factorization.

38400736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1007 (or 999 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 31.

The square root of 38400736 is about 6196.8327393920. The cubic root of 38400736 is about 337.3752215460.

The spelling of 38400736 in words is "thirty-eight million, four hundred thousand, seven hundred thirty-six".