3420986800 has 240 divisors, whose sum is σ = 10351123200. Its totient is φ = 1055462400.

The previous prime is 3420986797. The next prime is 3420986831. The reversal of 3420986800 is 86890243.

3420986800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×3420986800³ (a number of 30 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3356691 + ... + 3357709.

It is an arithmetic number, because the mean of its divisors is an integer number (43129680).

Almost surely, 2^3420986800 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3420986800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5175561600).

3420986800 is an abundant number, since it is smaller than the sum of its proper divisors (6930136400).

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

3420986800 is a wasteful number, since it uses less digits than its factorization.

3420986800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1164 (or 1153 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 40.

The square root of 3420986800 is about 58489.2024223275. The cubic root of 3420986800 is about 1506.7821480215.

The spelling of 3420986800 in words is "three billion, four hundred twenty million, nine hundred eighty-six thousand, eight hundred".