3460986000 has 240 divisors, whose sum is σ = 12348281088. Its totient is φ = 903072000.

The previous prime is 3460985977. The next prime is 3460986017. The reversal of 3460986000 is 6890643.

3460986000 is a `hidden beast` number, since 3 + 46 + 0 + 9 + 8 + 600 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 843955 + ... + 848045.

Almost surely, 2^3460986000 is an apocalyptic number.

3460986000 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 3460986000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6174140544).

3460986000 is an abundant number, since it is smaller than the sum of its proper divisors (8887295088).

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

3460986000 is a wasteful number, since it uses less digits than its factorization.

3460986000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4167 (or 4148 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 3460986000 is about 58830.1453338337. The cubic root of 3460986000 is about 1512.6319899385.

The spelling of 3460986000 in words is "three billion, four hundred sixty million, nine hundred eighty-six thousand".