3720940312320 has 720 divisors, whose sum is σ = 16599563785728. Its totient is φ = 773180743680.

The previous prime is 3720940312301. The next prime is 3720940312339. The reversal of 3720940312320 is 232130490273.

3720940312320 is a `hidden beast` number, since 3 + 7 + 209 + 403 + 1 + 23 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (3720940312301) and next prime (3720940312339).

It is a tau number, because it is divible by the number of its divisors (720).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 7750317 + ... + 8216403.

Almost surely, 2^{3720940312320} is an apocalyptic number.

3720940312320 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 3720940312320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8299781892864).

3720940312320 is an abundant number, since it is smaller than the sum of its proper divisors (12878623473408).

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

3720940312320 is a wasteful number, since it uses less digits than its factorization.

3720940312320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 466138 (or 466115 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 36.

The spelling of 3720940312320 in words is "three trillion, seven hundred twenty billion, nine hundred forty million, three hundred twelve thousand, three hundred twenty".