3507672960 has 768 divisors, whose sum is σ = 14435366400. Its totient is φ = 775864320.

The previous prime is 3507672941. The next prime is 3507672979. The reversal of 3507672960 is 692767053.

3507672960 is a `hidden beast` number, since 3 + 507 + 67 + 29 + 60 = 666.

It is an interprime number because it is at equal distance from previous prime (3507672941) and next prime (3507672979).

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 42261079 + ... + 42261161.

It is an arithmetic number, because the mean of its divisors is an integer number (18796050).

Almost surely, 2^3507672960 is an apocalyptic number.

3507672960 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 3507672960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7217683200).

3507672960 is an abundant number, since it is smaller than the sum of its proper divisors (10927693440).

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

3507672960 is a wasteful number, since it uses less digits than its factorization.

3507672960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 476280, while the sum is 45.

The square root of 3507672960 is about 59225.6106764633. The cubic root of 3507672960 is about 1519.4031821299.

The spelling of 3507672960 in words is "three billion, five hundred seven million, six hundred seventy-two thousand, nine hundred sixty".