3426089940900 has 729 divisors, whose sum is σ = 12125964994689. Its totient is φ = 808503696000.

The previous prime is 3426089940841. The next prime is 3426089940961. The reversal of 3426089940900 is 90499806243.

The square root of 3426089940900 is 1850970.

It is a perfect power (a square), and thus also a powerful number.

3426089940900 is a `hidden beast` number, since 3 + 426 + 0 + 8 + 99 + 40 + 90 + 0 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1233392378724 + 2192697562176 = 1110582^2 + 1480776^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 43368227061 + ... + 43368227139.

Almost surely, 2^{3426089940900} is an apocalyptic number.

3426089940900 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

3426089940900 is the 1850970-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3426089940900

3426089940900 is an abundant number, since it is smaller than the sum of its proper divisors (8699875053789).

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

3426089940900 is a wasteful number, since it uses less digits than its factorization.

3426089940900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 342 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 3359232, while the sum is 54.

The spelling of 3426089940900 in words is "three trillion, four hundred twenty-six billion, eighty-nine million, nine hundred forty thousand, nine hundred".