3490819200 has 384 divisors, whose sum is σ = 13940625600. Its totient is φ = 846028800.

The previous prime is 3490819183. The next prime is 3490819243. The reversal of 3490819200 is 29180943.

3490819200 is a `hidden beast` number, since 3 + 490 + 81 + 92 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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

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, 948564 + ... + 952236.

Almost surely, 2^3490819200 is an apocalyptic number.

3490819200 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 3490819200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6970312800).

3490819200 is an abundant number, since it is smaller than the sum of its proper divisors (10449806400).

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

3490819200 is a wasteful number, since it uses less digits than its factorization.

3490819200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3717 (or 3694 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 3490819200 is about 59083.1549597684. The cubic root of 3490819200 is about 1516.9657846352.

It can be divided in two parts, 349081 and 9200, that added together give a triangular number (358281 = T₈₄₆).

The spelling of 3490819200 in words is "three billion, four hundred ninety million, eight hundred nineteen thousand, two hundred".