39413472 has 96 divisors (see below), whose sum is σ = 119750400. Its totient is φ = 11117568.

The previous prime is 39413461. The next prime is 39413477. The reversal of 39413472 is 27431493.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (39413477) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 59479 + ... + 60137.

It is an arithmetic number, because the mean of its divisors is an integer number (1247400).

Almost surely, 2^39413472 is an apocalyptic number.

39413472 is a gapful number since it is divisible by the number (32) 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 39413472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59875200).

39413472 is an abundant number, since it is smaller than the sum of its proper divisors (80336928).

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

39413472 is a wasteful number, since it uses less digits than its factorization.

With its successor (39413473) it forms a Ruth-Aaron pair, since the sum of their prime factors is the same (768).

39413472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 768 (or 760 counting only the distinct ones).

The product of its digits is 18144, while the sum is 33.

The square root of 39413472 is about 6278.0149729035. The cubic root of 39413472 is about 340.3153705907.

The spelling of 39413472 in words is "thirty-nine million, four hundred thirteen thousand, four hundred seventy-two".