3380100408 has 64 divisors (see below), whose sum is σ = 9521452800. Its totient is φ = 1110826080.

The previous prime is 3380100403. The next prime is 3380100413. The reversal of 3380100408 is 8040010833.

3380100408 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3380100403) and next prime (3380100413).

It is a super-2 number, since 2×3380100408² = 22850157536323532928, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3380100403) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 94866 + ... + 125537.

It is an arithmetic number, because the mean of its divisors is an integer number (148772700).

Almost surely, 2^3380100408 is an apocalyptic number.

It is an amenable number.

3380100408 is an abundant number, since it is smaller than the sum of its proper divisors (6141352392).

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

3380100408 is a wasteful number, since it uses less digits than its factorization.

3380100408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220489 (or 220479 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 3380100408 is about 58138.6309436333. The cubic root of 3380100408 is about 1500.7552356822.

The spelling of 3380100408 in words is "three billion, three hundred eighty million, one hundred thousand, four hundred eight".