3732480000 has 490 divisors, whose sum is σ = 13985069439. Its totient is φ = 995328000.

The previous prime is 3732479987. The next prime is 3732480013. The reversal of 3732480000 is 842373.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is an interprime number because it is at equal distance from previous prime (3732479987) and next prime (3732480013).

It can be written as a sum of positive squares in 3 ways, for example, as 862949376 + 2869530624 = 29376^2 + 53568^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=43200.

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

It is a nialpdrome in base 12.

It is an unprimeable number.

It is a polite number, since it can be written in 34 ways as a sum of consecutive naturals, for example, 746495998 + ... + 746496002.

Almost surely, 2^3732480000 is an apocalyptic number.

3732480000 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 3732480000

3732480000 is an abundant number, since it is smaller than the sum of its proper divisors (10252589439).

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

3732480000 is an frugal number, since it uses more digits than its factorization.

3732480000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64 (or 10 counting only the distinct ones).

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

The square root of 3732480000 is about 61094.0258945177. The cubic root of 3732480000 is about 1551.1929768230.

The spelling of 3732480000 in words is "three billion, seven hundred thirty-two million, four hundred eighty thousand".