3709480320 has 768 divisors, whose sum is σ = 16507108800. Its totient is φ = 780337152.

The previous prime is 3709480301. The next prime is 3709480331. The reversal of 3709480320 is 230849073.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11007192 + ... + 11007528.

Almost surely, 2^3709480320 is an apocalyptic number.

3709480320 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 3709480320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8253554400).

3709480320 is an abundant number, since it is smaller than the sum of its proper divisors (12797628480).

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

3709480320 is a wasteful number, since it uses less digits than its factorization.

3709480320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 392 (or 367 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 3709480320 is about 60905.5031996288. The cubic root of 3709480320 is about 1548.0002403701. Note that the first 3 decimals are identical.

The spelling of 3709480320 in words is "three billion, seven hundred nine million, four hundred eighty thousand, three hundred twenty".