3540435840 has 96 divisors (see below), whose sum is σ = 12225587400. Its totient is φ = 944114688.

The previous prime is 3540435757. The next prime is 3540435841. The reversal of 3540435840 is 485340453.

3540435840 is a `hidden beast` number, since 3 + 540 + 4 + 35 + 84 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

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 = 3540435795 and 3540435804.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3540435841) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 301570 + ... + 313089.

Almost surely, 2^3540435840 is an apocalyptic number.

3540435840 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3540435840 is an abundant number, since it is smaller than the sum of its proper divisors (8685151560).

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

3540435840 is a wasteful number, since it uses less digits than its factorization.

3540435840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 614684 (or 614669 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

The square root of 3540435840 is about 59501.5616601783. The cubic root of 3540435840 is about 1524.1191135949.

The spelling of 3540435840 in words is "three billion, five hundred forty million, four hundred thirty-five thousand, eight hundred forty".