3286746000 has 480 divisors, whose sum is σ = 12710400768. Its totient is φ = 787353600.

The previous prime is 3286745999. The next prime is 3286746031. The reversal of 3286746000 is 6476823.

3286746000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 95 ways as a sum of consecutive naturals, for example, 7037767 + ... + 7038233.

Almost surely, 2^3286746000 is an apocalyptic number.

3286746000 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 3286746000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6355200384).

3286746000 is an abundant number, since it is smaller than the sum of its proper divisors (9423654768).

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

3286746000 is a wasteful number, since it uses less digits than its factorization.

3286746000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 536 (or 517 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 3286746000 is about 57330.1491363837. The cubic root of 3286746000 is about 1486.8096836904.

The spelling of 3286746000 in words is "three billion, two hundred eighty-six million, seven hundred forty-six thousand".