3392097149952 has 550 divisors, whose sum is σ = 11817700102758. Its totient is φ = 969113714688.

The previous prime is 3392097149927. The next prime is 3392097149971. The reversal of 3392097149952 is 2599417902933.

3392097149952 is a `hidden beast` number, since 3 + 3 + 9 + 2 + 0 + 97 + 1 + 499 + 52 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2498119335936 + 893977814016 = 1580544^2 + 945504^2 .

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 3392097149952.

It is an unprimeable number.

It is a polite number, since it can be written in 49 ways as a sum of consecutive naturals, for example, 199140028 + ... + 199157060.

Almost surely, 2^{3392097149952} is an apocalyptic number.

3392097149952 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3392097149952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5908850051379).

3392097149952 is an abundant number, since it is smaller than the sum of its proper divisors (8425602952806).

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

3392097149952 is an frugal number, since it uses more digits than its factorization.

3392097149952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17093 (or 17045 counting only the distinct ones).

The product of its (nonzero) digits is 33067440, while the sum is 63.

The spelling of 3392097149952 in words is "three trillion, three hundred ninety-two billion, ninety-seven million, one hundred forty-nine thousand, nine hundred fifty-two".