3492406886400 has 1596 divisors, whose sum is σ = 14069417805432. Its totient is φ = 856141332480.

The previous prime is 3492406886399. The next prime is 3492406886467. The reversal of 3492406886400 is 46886042943.

3492406886400 is a `hidden beast` number, since 34 + 92 + 40 + 6 + 8 + 86 + 400 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 81218764779 + ... + 81218764821.

Almost surely, 2^{3492406886400} is an apocalyptic number.

3492406886400 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 3492406886400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7034708902716).

3492406886400 is an abundant number, since it is smaller than the sum of its proper divisors (10577010919032).

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

3492406886400 is an frugal number, since it uses more digits than its factorization.

3492406886400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 7962624, while the sum is 54.

The spelling of 3492406886400 in words is "three trillion, four hundred ninety-two billion, four hundred six million, eight hundred eighty-six thousand, four hundred".