3721468031040 has 448 divisors, whose sum is σ = 12414725406720. Its totient is φ = 943266816000.

The previous prime is 3721468031027. The next prime is 3721468031053. The reversal of 3721468031040 is 401308641273.

It is an interprime number because it is at equal distance from previous prime (3721468031027) and next prime (3721468031053).

It is a self number, because there is not a number n which added to its sum of digits gives 3721468031040.

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, 1980556821 + ... + 1980558699.

It is an arithmetic number, because the mean of its divisors is an integer number (27711440640).

Almost surely, 2^{3721468031040} is an apocalyptic number.

3721468031040 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 3721468031040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6207362703360).

3721468031040 is an abundant number, since it is smaller than the sum of its proper divisors (8693257375680).

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

3721468031040 is a wasteful number, since it uses less digits than its factorization.

3721468031040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3082 (or 3072 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 39.

The spelling of 3721468031040 in words is "three trillion, seven hundred twenty-one billion, four hundred sixty-eight million, thirty-one thousand, forty".