3313587480 has 256 divisors, whose sum is σ = 11612160000. Its totient is φ = 740855808.

The previous prime is 3313587469. The next prime is 3313587481. The reversal of 3313587480 is 847853133.

It is a super-2 number, since 2×3313587480² = 21959723975225500800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3313587481) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9494346 + ... + 9494694.

It is an arithmetic number, because the mean of its divisors is an integer number (45360000).

Almost surely, 2^3313587480 is an apocalyptic number.

3313587480 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 3313587480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5806080000).

3313587480 is an abundant number, since it is smaller than the sum of its proper divisors (8298572520).

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

3313587480 is a wasteful number, since it uses less digits than its factorization.

3313587480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 586 (or 582 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 42.

The square root of 3313587480 is about 57563.7688133777. The cubic root of 3313587480 is about 1490.8460999336.

The spelling of 3313587480 in words is "three billion, three hundred thirteen million, five hundred eighty-seven thousand, four hundred eighty".