3492893010 has 64 divisors (see below), whose sum is σ = 8656940160. Its totient is φ = 901393920.

The previous prime is 3492892961. The next prime is 3492893011. The reversal of 3492893010 is 103982943.

It is a self number, because there is not a number n which added to its sum of digits gives 3492893010.

It is not an unprimeable number, because it can be changed into a prime (3492893011) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 128190 + ... + 153030.

It is an arithmetic number, because the mean of its divisors is an integer number (135264690).

Almost surely, 2^3492893010 is an apocalyptic number.

3492893010 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3492893010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4328470080).

3492893010 is an abundant number, since it is smaller than the sum of its proper divisors (5164047150).

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

3492893010 is a wasteful number, since it uses less digits than its factorization.

3492893010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25003.

The product of its (nonzero) digits is 46656, while the sum is 39.

The square root of 3492893010 is about 59100.7022800914. The cubic root of 3492893010 is about 1517.2661225475.

The spelling of 3492893010 in words is "three billion, four hundred ninety-two million, eight hundred ninety-three thousand, ten".