3672979914240 has 4320 divisors, whose sum is σ = 17898450425856. Its totient is φ = 717352796160.

The previous prime is 3672979914179. The next prime is 3672979914337. The reversal of 3672979914240 is 424199792763.

3672979914240 is a `hidden beast` number, since 3 + 6 + 7 + 297 + 99 + 14 + 240 = 666.

3672979914240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (4320).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 118483223025 + ... + 118483223055.

Almost surely, 2^{3672979914240} is an apocalyptic number.

3672979914240 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 3672979914240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8949225212928).

3672979914240 is an abundant number, since it is smaller than the sum of its proper divisors (14225470511616).

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

3672979914240 is a wasteful number, since it uses less digits than its factorization.

3672979914240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 41150592, while the sum is 63.

The spelling of 3672979914240 in words is "three trillion, six hundred seventy-two billion, nine hundred seventy-nine million, nine hundred fourteen thousand, two hundred forty".