3486051138240 has 896 divisors, whose sum is σ = 13573546721280. Its totient is φ = 835246080000.

The previous prime is 3486051138233. The next prime is 3486051138259. The reversal of 3486051138240 is 428311506843.

3486051138240 is a `hidden beast` number, since 3 + 4 + 8 + 60 + 511 + 38 + 2 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3285627310 + ... + 3285628370.

It is an arithmetic number, because the mean of its divisors is an integer number (15149047680).

Almost surely, 2^{3486051138240} is an apocalyptic number.

3486051138240 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 3486051138240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6786773360640).

3486051138240 is an abundant number, since it is smaller than the sum of its proper divisors (10087495583040).

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

3486051138240 is a wasteful number, since it uses less digits than its factorization.

3486051138240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1470 (or 1454 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 3486051138240 in words is "three trillion, four hundred eighty-six billion, fifty-one million, one hundred thirty-eight thousand, two hundred forty".