3486414000 has 80 divisors (see below), whose sum is σ = 11240218080. Its totient is φ = 929708800.

The previous prime is 3486413989. The next prime is 3486414013. The reversal of 3486414000 is 4146843.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 284535 + ... + 296534.

It is an arithmetic number, because the mean of its divisors is an integer number (140502726).

Almost surely, 2^3486414000 is an apocalyptic number.

3486414000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3486414000 is an abundant number, since it is smaller than the sum of its proper divisors (7753804080).

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

3486414000 is a wasteful number, since it uses less digits than its factorization.

3486414000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 581095 (or 581079 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The square root of 3486414000 is about 59045.8635299713. The cubic root of 3486414000 is about 1516.3274100639.

The spelling of 3486414000 in words is "three billion, four hundred eighty-six million, four hundred fourteen thousand".