3607294906944 has 231 divisors, whose sum is σ = 10748279431897. Its totient is φ = 1201200897024.

The previous prime is 3607294906841. The next prime is 3607294906981. The reversal of 3607294906944 is 4496094927063.

The square root of 3607294906944 is 1899288.

It is a perfect power (a square), and thus also a powerful number.

3607294906944 is a `hidden beast` number, since 3 + 60 + 7 + 29 + 490 + 69 + 4 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 3374862926400 + 232431980544 = 1837080^2 + 482112^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 32 ways as a sum of consecutive naturals, for example, 3692215384 + ... + 3692216360.

Almost surely, 2^{3607294906944} is an apocalyptic number.

3607294906944 is the 1899288-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3607294906944

3607294906944 is an abundant number, since it is smaller than the sum of its proper divisors (7140984524953).

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

3607294906944 is an frugal number, since it uses more digits than its factorization.

3607294906944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1996 (or 982 counting only the distinct ones).

The product of its (nonzero) digits is 70543872, while the sum is 63.

The spelling of 3607294906944 in words is "three trillion, six hundred seven billion, two hundred ninety-four million, nine hundred six thousand, nine hundred forty-four".