3540765900 has 144 divisors (see below), whose sum is σ = 12324488960. Its totient is φ = 766713600.

The previous prime is 3540765883. The next prime is 3540765937. The reversal of 3540765900 is 95670453.

3540765900 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4471 + ... + 84270.

Almost surely, 2^3540765900 is an apocalyptic number.

3540765900 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 3540765900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6162244480).

3540765900 is an abundant number, since it is smaller than the sum of its proper divisors (8783723060).

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

3540765900 is a wasteful number, since it uses less digits than its factorization.

3540765900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88784 (or 88777 counting only the distinct ones).

The product of its (nonzero) digits is 113400, while the sum is 39.

The square root of 3540765900 is about 59504.3351361899. The cubic root of 3540765900 is about 1524.1664745363.

It can be divided in two parts, 354076 and 5900, that added together give a triangular number (359976 = T₈₄₈).

The spelling of 3540765900 in words is "three billion, five hundred forty million, seven hundred sixty-five thousand, nine hundred".