3732480 has 154 divisors (see below), whose sum is σ = 13424226. Its totient is φ = 995328.

The previous prime is 3732479. The next prime is 3732499. The reversal of 3732480 is 842373.

It is a Jordan-Polya number, since it can be written as 6! ⋅ 4! ⋅ (3!)³.

It can be written as a sum of positive squares in only one way, i.e., 2985984 + 746496 = 1728^2 + 864^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 746494 + ... + 746498.

Almost surely, 2^3732480 is an apocalyptic number.

3732480 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 3732480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6712113).

3732480 is an abundant number, since it is smaller than the sum of its proper divisors (9691746).

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

3732480 is an frugal number, since it uses more digits than its factorization.

3732480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43 (or 10 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 3732480 is about 1931.9627325598. The cubic root of 3732480 is about 155.1192976823.

The spelling of 3732480 in words is "three million, seven hundred thirty-two thousand, four hundred eighty".