3540800628 has 72 divisors (see below), whose sum is σ = 9299017728. Its totient is φ = 1178084736.

The previous prime is 3540800623. The next prime is 3540800639. The reversal of 3540800628 is 8260080453.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 3540800592 and 3540800601.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3540800623) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 573325 + ... + 579467.

It is an arithmetic number, because the mean of its divisors is an integer number (129153024).

Almost surely, 2^3540800628 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3540800628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4649508864).

3540800628 is an abundant number, since it is smaller than the sum of its proper divisors (5758217100).

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

3540800628 is a wasteful number, since it uses less digits than its factorization.

3540800628 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6755 (or 6741 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 3540800628 is about 59504.6269461460. The cubic root of 3540800628 is about 1524.1714575524.

The spelling of 3540800628 in words is "three billion, five hundred forty million, eight hundred thousand, six hundred twenty-eight".