3534190920 has 256 divisors, whose sum is σ = 12757651200. Its totient is φ = 865105920.

The previous prime is 3534190909. The next prime is 3534190951. The reversal of 3534190920 is 290914353.

It is a happy number.

3534190920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 63 ways as a sum of consecutive naturals, for example, 2961844 + ... + 2963036.

It is an arithmetic number, because the mean of its divisors is an integer number (49834575).

Almost surely, 2^3534190920 is an apocalyptic number.

3534190920 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 3534190920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6378825600).

3534190920 is an abundant number, since it is smaller than the sum of its proper divisors (9223460280).

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

3534190920 is a wasteful number, since it uses less digits than its factorization.

3534190920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1437 (or 1427 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 36.

The square root of 3534190920 is about 59449.0615569329. The cubic root of 3534190920 is about 1523.2224628176. Note that the first 3 decimals are identical.

The spelling of 3534190920 in words is "three billion, five hundred thirty-four million, one hundred ninety thousand, nine hundred twenty".