3730956042240 has 960 divisors, whose sum is σ = 15372577758720. Its totient is φ = 840853094400.

The previous prime is 3730956042239. The next prime is 3730956042259. The reversal of 3730956042240 is 422406590373.

3730956042240 is a `hidden beast` number, since 3 + 7 + 3 + 0 + 9 + 560 + 42 + 2 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

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 polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1130248590 + ... + 1130251890.

It is an arithmetic number, because the mean of its divisors is an integer number (16013101832).

Almost surely, 2^{3730956042240} is an apocalyptic number.

3730956042240 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 3730956042240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7686288879360).

3730956042240 is an abundant number, since it is smaller than the sum of its proper divisors (11641621716480).

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

3730956042240 is an equidigital number, since it uses as much as digits as its factorization.

3730956042240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3423 (or 3391 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 45.

The spelling of 3730956042240 in words is "three trillion, seven hundred thirty billion, nine hundred fifty-six million, forty-two thousand, two hundred forty".