3486400992 has 72 divisors (see below), whose sum is σ = 9928474920. Its totient is φ = 1160490240.

The previous prime is 3486400979. The next prime is 3486400993. The reversal of 3486400992 is 2990046843.

3486400992 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3486400993) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 204642 + ... + 221022.

It is an arithmetic number, because the mean of its divisors is an integer number (137895485).

Almost surely, 2^3486400992 is an apocalyptic number.

3486400992 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 3486400992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4964237460).

3486400992 is an abundant number, since it is smaller than the sum of its proper divisors (6442073928).

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

3486400992 is a wasteful number, since it uses less digits than its factorization.

3486400992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17136 (or 17125 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The square root of 3486400992 is about 59045.7533782066. The cubic root of 3486400992 is about 1516.3255242282.

The spelling of 3486400992 in words is "three billion, four hundred eighty-six million, four hundred thousand, nine hundred ninety-two".