3437085960 has 640 divisors, whose sum is σ = 15054336000. Its totient is φ = 682007040.

The previous prime is 3437085913. The next prime is 3437085973. The reversal of 3437085960 is 695807343.

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

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 5737741 + ... + 5738339.

It is an arithmetic number, because the mean of its divisors is an integer number (23522400).

Almost surely, 2^3437085960 is an apocalyptic number.

3437085960 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 3437085960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7527168000).

3437085960 is an abundant number, since it is smaller than the sum of its proper divisors (11617250040).

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

3437085960 is a wasteful number, since it uses less digits than its factorization.

3437085960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 663 (or 650 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The square root of 3437085960 is about 58626.6659464787. The cubic root of 3437085960 is about 1509.1420882848.

The spelling of 3437085960 in words is "three billion, four hundred thirty-seven million, eighty-five thousand, nine hundred sixty".