3974732308440 has 1536 divisors, whose sum is σ = 14825291120640. Its totient is φ = 955477555200.

The previous prime is 3974732308423. The next prime is 3974732308523. The reversal of 3974732308440 is 448032374793.

3974732308440 is a `hidden beast` number, since 3 + 97 + 473 + 2 + 3 + 0 + 84 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 37147030867 + ... + 37147030973.

It is an arithmetic number, because the mean of its divisors is an integer number (9651882240).

Almost surely, 2^{3974732308440} is an apocalyptic number.

3974732308440 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 3974732308440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7412645560320).

3974732308440 is an abundant number, since it is smaller than the sum of its proper divisors (10850558812200).

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

3974732308440 is a wasteful number, since it uses less digits than its factorization.

3974732308440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 315 (or 299 counting only the distinct ones).

The product of its (nonzero) digits is 12192768, while the sum is 54.

The spelling of 3974732308440 in words is "three trillion, nine hundred seventy-four billion, seven hundred thirty-two million, three hundred eight thousand, four hundred forty".