3494641920 has 576 divisors, whose sum is σ = 14241153024. Its totient is φ = 709263360.

The previous prime is 3494641859. The next prime is 3494641957. The reversal of 3494641920 is 291464943.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 15670929 + ... + 15671151.

It is an arithmetic number, because the mean of its divisors is an integer number (24724224).

Almost surely, 2^3494641920 is an apocalyptic number.

3494641920 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 3494641920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7120576512).

3494641920 is an abundant number, since it is smaller than the sum of its proper divisors (10746511104).

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

3494641920 is a wasteful number, since it uses less digits than its factorization.

3494641920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 318 (or 304 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 42.

The square root of 3494641920 is about 59115.4964455176. The cubic root of 3494641920 is about 1517.5193146842.

The spelling of 3494641920 in words is "three billion, four hundred ninety-four million, six hundred forty-one thousand, nine hundred twenty".