3294923040 has 216 divisors, whose sum is σ = 11623211964. Its totient is φ = 849945600.

The previous prime is 3294922999. The next prime is 3294923053. The reversal of 3294923040 is 403294923.

It can be written as a sum of positive squares in 2 ways, for example, as 2673717264 + 621205776 = 51708^2 + 24924^2 .

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 = 3294922986 and 3294923004.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1382650 + ... + 1385030.

Almost surely, 2^3294923040 is an apocalyptic number.

3294923040 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 3294923040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5811605982).

3294923040 is an abundant number, since it is smaller than the sum of its proper divisors (8328288924).

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

3294923040 is a wasteful number, since it uses less digits than its factorization.

3294923040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2464 (or 2422 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The square root of 3294923040 is about 57401.4201914900. The cubic root of 3294923040 is about 1488.0416655000.

The spelling of 3294923040 in words is "three billion, two hundred ninety-four million, nine hundred twenty-three thousand, forty".