3296292480 has 192 divisors, whose sum is σ = 12258366120. Its totient is φ = 811376640.

The previous prime is 3296292437. The next prime is 3296292487. The reversal of 3296292480 is 842926923.

3296292480 is a `hidden beast` number, since 3 + 29 + 62 + 92 + 480 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1914237504 + 1382054976 = 43752^2 + 37176^2 .

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×3296292480² = 21731088227409100800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (3296292487) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 52870 + ... + 96890.

Almost surely, 2^3296292480 is an apocalyptic number.

3296292480 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 3296292480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6129183060).

3296292480 is an abundant number, since it is smaller than the sum of its proper divisors (8962073640).

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

3296292480 is a wasteful number, since it uses less digits than its factorization.

3296292480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44059 (or 44044 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The square root of 3296292480 is about 57413.3475770225. The cubic root of 3296292480 is about 1488.2477908534.

The spelling of 3296292480 in words is "three billion, two hundred ninety-six million, two hundred ninety-two thousand, four hundred eighty".