3501408960 has 672 divisors, whose sum is σ = 14635520640. Its totient is φ = 751435776.

The previous prime is 3501408947. The next prime is 3501408997. The reversal of 3501408960 is 698041053.

It is a tau number, because it is divible by the number of its divisors (672).

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

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, 30985864 + ... + 30985976.

Almost surely, 2^3501408960 is an apocalyptic number.

3501408960 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 3501408960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7317760320).

3501408960 is an abundant number, since it is smaller than the sum of its proper divisors (11134111680).

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

3501408960 is a wasteful number, since it uses less digits than its factorization.

3501408960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225 (or 212 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 3501408960 is about 59172.7045182152. The cubic root of 3501408960 is about 1518.4981934815.

The spelling of 3501408960 in words is "three billion, five hundred one million, four hundred eight thousand, nine hundred sixty".