3317990400 has 198 divisors, whose sum is σ = 11880800282. Its totient is φ = 884736000.

The previous prime is 3317990383. The next prime is 3317990413. The reversal of 3317990400 is 40997133.

It can be written as a sum of positive squares in 3 ways, for example, as 1167998976 + 2149991424 = 34176^2 + 46368^2 .

It is a super-2 number, since 2×3317990400² = 22018120588984320000, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 223200 + ... + 237600.

Almost surely, 2^3317990400 is an apocalyptic number.

3317990400 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 3317990400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5940400141).

3317990400 is an abundant number, since it is smaller than the sum of its proper divisors (8562809882).

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

3317990400 is a wasteful number, since it uses less digits than its factorization.

3317990400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14437 (or 14411 counting only the distinct ones).

The product of its (nonzero) digits is 20412, while the sum is 36.

The square root of 3317990400 is about 57601.9999652790. Note that the first 4 decimals coincide. The cubic root of 3317990400 is about 1491.5061268643.

The spelling of 3317990400 in words is "three billion, three hundred seventeen million, nine hundred ninety thousand, four hundred".