3400992000 has 648 divisors, whose sum is σ = 14294832552. Its totient is φ = 774144000.

The previous prime is 3400991953. The next prime is 3400992041. The reversal of 3400992000 is 2990043.

It can be written as a sum of positive squares in 4 ways, for example, as 22127616 + 3378864384 = 4704^2 + 58128^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 14111880 + ... + 14112120.

Almost surely, 2^3400992000 is an apocalyptic number.

3400992000 is a gapful number since it is divisible by the number (30) 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 3400992000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7147416276).

3400992000 is an abundant number, since it is smaller than the sum of its proper divisors (10893840552).

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

3400992000 is a wasteful number, since it uses less digits than its factorization.

3400992000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 292 (or 258 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 3400992000 is about 58318.0246579049. The cubic root of 3400992000 is about 1503.8408236551.

The spelling of 3400992000 in words is "three billion, four hundred million, nine hundred ninety-two thousand".