3480937920 has 336 divisors, whose sum is σ = 12497092608. Its totient is φ = 888330240.

The previous prime is 3480937909. The next prime is 3480937937. The reversal of 3480937920 is 297390843.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11338407 + ... + 11338713.

It is an arithmetic number, because the mean of its divisors is an integer number (37193728).

Almost surely, 2^3480937920 is an apocalyptic number.

3480937920 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 3480937920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6248546304).

3480937920 is an abundant number, since it is smaller than the sum of its proper divisors (9016154688).

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

3480937920 is a wasteful number, since it uses less digits than its factorization.

3480937920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 488 (or 475 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The square root of 3480937920 is about 58999.4738959594. The cubic root of 3480937920 is about 1515.5330999763.

The spelling of 3480937920 in words is "three billion, four hundred eighty million, nine hundred thirty-seven thousand, nine hundred twenty".