3492035820 has 384 divisors, whose sum is σ = 13479782400. Its totient is φ = 730819584.

The previous prime is 3492035819. The next prime is 3492035849. The reversal of 3492035820 is 285302943.

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 127 ways as a sum of consecutive naturals, for example, 8795862 + ... + 8796258.

It is an arithmetic number, because the mean of its divisors is an integer number (35103600).

Almost surely, 2^3492035820 is an apocalyptic number.

3492035820 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 3492035820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6739891200).

3492035820 is an abundant number, since it is smaller than the sum of its proper divisors (9987746580).

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

3492035820 is a wasteful number, since it uses less digits than its factorization.

3492035820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 614 (or 606 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 3492035820 is about 59093.4498908297. The cubic root of 3492035820 is about 1517.1419950931.

The spelling of 3492035820 in words is "three billion, four hundred ninety-two million, thirty-five thousand, eight hundred twenty".