3290060265408 has 672 divisors, whose sum is σ = 11860876984320. Its totient is φ = 883867438080.

The previous prime is 3290060265403. The next prime is 3290060265409. The reversal of 3290060265408 is 8045620600923.

3290060265408 is a `hidden beast` number, since 3 + 29 + 0 + 0 + 60 + 26 + 540 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3290060265403) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 147717313 + ... + 147739583.

It is an arithmetic number, because the mean of its divisors is an integer number (17650114560).

Almost surely, 2^{3290060265408} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3290060265408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5930438492160).

3290060265408 is an abundant number, since it is smaller than the sum of its proper divisors (8570816718912).

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

3290060265408 is a wasteful number, since it uses less digits than its factorization.

3290060265408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22387 (or 22365 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 3290060265408 in words is "three trillion, two hundred ninety billion, sixty million, two hundred sixty-five thousand, four hundred eight".