3731912260440 has 1024 divisors, whose sum is σ = 14953365504000. Its totient is φ = 723175464960.

The previous prime is 3731912260429. The next prime is 3731912260463. The reversal of 3731912260440 is 440622191373.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 3731912260392 and 3731912260401.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 1062918285 + ... + 1062921795.

It is an arithmetic number, because the mean of its divisors is an integer number (14602896000).

Almost surely, 2^{3731912260440} is an apocalyptic number.

3731912260440 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 3731912260440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7476682752000).

3731912260440 is an abundant number, since it is smaller than the sum of its proper divisors (11221453243560).

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

3731912260440 is a wasteful number, since it uses less digits than its factorization.

3731912260440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3720 (or 3716 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 42.

The spelling of 3731912260440 in words is "three trillion, seven hundred thirty-one billion, nine hundred twelve million, two hundred sixty thousand, four hundred forty".