3534636240 has 120 divisors (see below), whose sum is σ = 12160112328. Its totient is φ = 919572480.

The previous prime is 3534636229. The next prime is 3534636241. The reversal of 3534636240 is 426364353.

3534636240 is a `hidden beast` number, since 3 + 534 + 63 + 62 + 4 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 571536 + 3534064704 = 756^2 + 59448^2 .

It is a tau number, because it is divible by the number of its divisors (120).

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 = 3534636195 and 3534636204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3534636241) 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, 30349 + ... + 89388.

Almost surely, 2^3534636240 is an apocalyptic number.

3534636240 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3534636240 is an abundant number, since it is smaller than the sum of its proper divisors (8625476088).

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

3534636240 is a wasteful number, since it uses less digits than its factorization.

3534636240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119797 (or 119788 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 36.

The square root of 3534636240 is about 59452.8068302919. The cubic root of 3534636240 is about 1523.2864371901.

The spelling of 3534636240 in words is "three billion, five hundred thirty-four million, six hundred thirty-six thousand, two hundred forty".