39413640 has 96 divisors (see below), whose sum is σ = 137566080. Its totient is φ = 9007488.

The previous prime is 39413623. The next prime is 39413659. The reversal of 39413640 is 4631493.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 39413598 and 39413607.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2529 + ... + 9231.

It is an arithmetic number, because the mean of its divisors is an integer number (1432980).

Almost surely, 2^39413640 is an apocalyptic number.

39413640 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 39413640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68783040).

39413640 is an abundant number, since it is smaller than the sum of its proper divisors (98152440).

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

39413640 is a wasteful number, since it uses less digits than its factorization.

39413640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6731 (or 6720 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 30.

The square root of 39413640 is about 6278.0283529146. The cubic root of 39413640 is about 340.3158541216.

The spelling of 39413640 in words is "thirty-nine million, four hundred thirteen thousand, six hundred forty".