3492681120 has 240 divisors, whose sum is σ = 12752669160. Its totient is φ = 899168256.

The previous prime is 3492681113. The next prime is 3492681121. The reversal of 3492681120 is 211862943.

It can be written as a sum of positive squares in 4 ways, for example, as 2028241296 + 1464439824 = 45036^2 + 38268^2 .

It is a tau number, because it is divible by the number of its divisors (240).

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

It is not an unprimeable number, because it can be changed into a prime (3492681121) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 371194 + ... + 380486.

Almost surely, 2^3492681120 is an apocalyptic number.

3492681120 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 3492681120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6376334580).

3492681120 is an abundant number, since it is smaller than the sum of its proper divisors (9259988040).

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

3492681120 is a wasteful number, since it uses less digits than its factorization.

3492681120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9349 (or 9332 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 3492681120 is about 59098.9096346117. The cubic root of 3492681120 is about 1517.2354411974.

The spelling of 3492681120 in words is "three billion, four hundred ninety-two million, six hundred eighty-one thousand, one hundred twenty".