3382841700 has 432 divisors, whose sum is σ = 12999168000. Its totient is φ = 718606080.

The previous prime is 3382841663. The next prime is 3382841717. The reversal of 3382841700 is 71482833.

It is a super-2 number, since 2×3382841700² = 22887235934517780000, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 7062061 + ... + 7062539.

Almost surely, 2^3382841700 is an apocalyptic number.

3382841700 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 3382841700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6499584000).

3382841700 is an abundant number, since it is smaller than the sum of its proper divisors (9616326300).

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

3382841700 is a wasteful number, since it uses less digits than its factorization.

3382841700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 584 (or 574 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 3382841700 is about 58162.2016433353. The cubic root of 3382841700 is about 1501.1608347434.

The spelling of 3382841700 in words is "three billion, three hundred eighty-two million, eight hundred forty-one thousand, seven hundred".