3486809290000 has 225 divisors, whose sum is σ = 8595169602019. Its totient is φ = 1369851280000.

The previous prime is 3486809289949. The next prime is 3486809290039. The reversal of 3486809290000 is 929086843.

The square root of 3486809290000 is 1867300.

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

It can be written as a sum of positive squares in 2 ways, for example, as 273365848336 + 3213443441664 = 522844^2 + 1792608^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 13257829869 + ... + 13257830131.

Almost surely, 2^{3486809290000} is an apocalyptic number.

3486809290000 is the 1867300-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3486809290000

3486809290000 is an abundant number, since it is smaller than the sum of its proper divisors (5108360312019).

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

3486809290000 is an frugal number, since it uses more digits than its factorization.

3486809290000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 696 (or 341 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 49.

Multiplying 3486809290000 by its sum of digits (49), we get a square (170853655210000 = 13071100²).

The spelling of 3486809290000 in words is "three trillion, four hundred eighty-six billion, eight hundred nine million, two hundred ninety thousand".