3674849400900 has 54 divisors (see below), whose sum is σ = 11518611291642. Its totient is φ = 979959840000.

The previous prime is 3674849400863. The next prime is 3674849400917. The reversal of 3674849400900 is 90049484763.

It is a happy number.

3674849400900 is a `hidden beast` number, since 3 + 6 + 74 + 84 + 9 + 400 + 90 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 592970842116 + 3081878558784 = 770046^2 + 1755528^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 2041582101 + ... + 2041583900.

Almost surely, 2^{3674849400900} is an apocalyptic number.

3674849400900 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3674849400900 is an abundant number, since it is smaller than the sum of its proper divisors (7843761890742).

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

3674849400900 is a wasteful number, since it uses less digits than its factorization.

3674849400900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4083166021 (or 4083166011 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The spelling of 3674849400900 in words is "three trillion, six hundred seventy-four billion, eight hundred forty-nine million, four hundred thousand, nine hundred".