3317790480 has 160 divisors (see below), whose sum is σ = 10760739840. Its totient is φ = 844039680.

The previous prime is 3317790461. The next prime is 3317790547. The reversal of 3317790480 is 840977133.

It is a super-2 number, since 2×3317790480² = 22015467338357260800, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3416395 + ... + 3417365.

It is an arithmetic number, because the mean of its divisors is an integer number (67254624).

Almost surely, 2^3317790480 is an apocalyptic number.

3317790480 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 3317790480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5380369920).

3317790480 is an abundant number, since it is smaller than the sum of its proper divisors (7442949360).

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

3317790480 is a wasteful number, since it uses less digits than its factorization.

3317790480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1629 (or 1623 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 42.

The square root of 3317790480 is about 57600.2645827257. The cubic root of 3317790480 is about 1491.4761701879.

The spelling of 3317790480 in words is "three billion, three hundred seventeen million, seven hundred ninety thousand, four hundred eighty".