3380420400 has 240 divisors, whose sum is σ = 12914363904. Its totient is φ = 739031040.

The previous prime is 3380420371. The next prime is 3380420411. The reversal of 3380420400 is 40240833.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×3380420400² = 22854484161472320000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 184452 + ... + 201948.

Almost surely, 2^3380420400 is an apocalyptic number.

3380420400 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 3380420400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6457181952).

3380420400 is an abundant number, since it is smaller than the sum of its proper divisors (9533943504).

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

3380420400 is a wasteful number, since it uses less digits than its factorization.

3380420400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17548 (or 17537 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 3380420400 is about 58141.3828524916. The cubic root of 3380420400 is about 1500.8025927089.

The spelling of 3380420400 in words is "three billion, three hundred eighty million, four hundred twenty thousand, four hundred".