3743412022560 has 384 divisors, whose sum is σ = 13779256135680. Its totient is φ = 836515270656.

The previous prime is 3743412022549. The next prime is 3743412022583. The reversal of 3743412022560 is 652202143473.

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, 50359501 + ... + 50433779.

It is an arithmetic number, because the mean of its divisors is an integer number (35883479520).

Almost surely, 2^{3743412022560} is an apocalyptic number.

3743412022560 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 3743412022560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6889628067840).

3743412022560 is an abundant number, since it is smaller than the sum of its proper divisors (10035844113120).

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

3743412022560 is a wasteful number, since it uses less digits than its factorization.

3743412022560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74640 (or 74632 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 39.

The spelling of 3743412022560 in words is "three trillion, seven hundred forty-three billion, four hundred twelve million, twenty-two thousand, five hundred sixty".