3431630246400 has 360 divisors, whose sum is σ = 12296013624180. Its totient is φ = 913972101120.

The previous prime is 3431630246377. The next prime is 3431630246423. The reversal of 3431630246400 is 46420361343.

3431630246400 is a `hidden beast` number, since 3 + 4 + 3 + 1 + 6 + 3 + 0 + 2 + 4 + 640 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (3431630246377) and next prime (3431630246423).

It can be written as a sum of positive squares in 6 ways, for example, as 1734425784576 + 1697204461824 = 1316976^2 + 1302768^2 .

It is a tau number, because it is divible by the number of its divisors (360).

It is a super-2 number, since 2×3431630246400² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 95482834 + ... + 95518766.

Almost surely, 2^{3431630246400} is an apocalyptic number.

3431630246400 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 3431630246400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6148006812090).

3431630246400 is an abundant number, since it is smaller than the sum of its proper divisors (8864383377780).

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

3431630246400 is a wasteful number, since it uses less digits than its factorization.

3431630246400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36796 (or 36772 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 36.

The spelling of 3431630246400 in words is "three trillion, four hundred thirty-one billion, six hundred thirty million, two hundred forty-six thousand, four hundred".