3310390944 has 288 divisors, whose sum is σ = 11351523456. Its totient is φ = 929387520.

The previous prime is 3310390927. The next prime is 3310390949. The reversal of 3310390944 is 4490930133.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×3310390944² = 21917376404234422272, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 3310390899 and 3310390908.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3310390949) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3319854 + ... + 3320850.

It is an arithmetic number, because the mean of its divisors is an integer number (39415012).

Almost surely, 2^3310390944 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 3310390944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5675761728).

3310390944 is an abundant number, since it is smaller than the sum of its proper divisors (8041132512).

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

3310390944 is an equidigital number, since it uses as much as digits as its factorization.

3310390944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1090 (or 1070 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 36.

The square root of 3310390944 is about 57535.9969410455. The cubic root of 3310390944 is about 1490.3665515609.

The spelling of 3310390944 in words is "three billion, three hundred ten million, three hundred ninety thousand, nine hundred forty-four".