3742949122560 has 640 divisors, whose sum is σ = 14012612064000. Its totient is φ = 944399056896.

The previous prime is 3742949122489. The next prime is 3742949122571. The reversal of 3742949122560 is 652219492473.

It is a happy number.

3742949122560 is a `hidden beast` number, since 3 + 7 + 4 + 29 + 49 + 12 + 2 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

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

It is a junction number, because it is equal to n+sod(n) for n = 3742949122497 and 3742949122506.

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, 1566741846 + ... + 1566744234.

It is an arithmetic number, because the mean of its divisors is an integer number (21894706350).

Almost surely, 2^{3742949122560} is an apocalyptic number.

3742949122560 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 3742949122560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7006306032000).

3742949122560 is an abundant number, since it is smaller than the sum of its proper divisors (10269662941440).

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

3742949122560 is a wasteful number, since it uses less digits than its factorization.

3742949122560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3633 (or 3611 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The spelling of 3742949122560 in words is "three trillion, seven hundred forty-two billion, nine hundred forty-nine million, one hundred twenty-two thousand, five hundred sixty".