3402781200 has 1080 divisors, whose sum is σ = 15802345728. Its totient is φ = 661340160.

The previous prime is 3402781189. The next prime is 3402781201. The reversal of 3402781200 is 21872043.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3402781201) by changing a digit.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 72399577 + ... + 72399623.

Almost surely, 2^3402781200 is an apocalyptic number.

3402781200 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 3402781200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7901172864).

3402781200 is an abundant number, since it is smaller than the sum of its proper divisors (12399564528).

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

3402781200 is a wasteful number, since it uses less digits than its factorization.

3402781200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 3402781200 is about 58333.3626666593. The cubic root of 3402781200 is about 1504.1044918536.

The spelling of 3402781200 in words is "three billion, four hundred two million, seven hundred eighty-one thousand, two hundred".