3486057840 has 120 divisors (see below), whose sum is σ = 11759024160. Its totient is φ = 925512192.

The previous prime is 3486057769. The next prime is 3486057853. The reversal of 3486057840 is 487506843.

3486057840 is a `hidden beast` number, since 34 + 8 + 6 + 0 + 578 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 154309 + ... + 175451.

It is an arithmetic number, because the mean of its divisors is an integer number (97991868).

Almost surely, 2^3486057840 is an apocalyptic number.

3486057840 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 3486057840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5879512080).

3486057840 is an abundant number, since it is smaller than the sum of its proper divisors (8272966320).

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

3486057840 is a wasteful number, since it uses less digits than its factorization.

3486057840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21391 (or 21382 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The square root of 3486057840 is about 59042.8474923085. The cubic root of 3486057840 is about 1516.2757740504.

The spelling of 3486057840 in words is "three billion, four hundred eighty-six million, fifty-seven thousand, eight hundred forty".