3475854000 has 480 divisors, whose sum is σ = 13244527296. Its totient is φ = 846028800.

The previous prime is 3475853981. The next prime is 3475854143. The reversal of 3475854000 is 4585743.

3475854000 is a `hidden beast` number, since 34 + 7 + 585 + 40 + 0 + 0 = 666.

3475854000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3475854000² = 24163122058632000000, which contains 22 as substring.

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, 11321847 + ... + 11322153.

Almost surely, 2^3475854000 is an apocalyptic number.

3475854000 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 3475854000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6622263648).

3475854000 is an abundant number, since it is smaller than the sum of its proper divisors (9768673296).

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

3475854000 is a wasteful number, since it uses less digits than its factorization.

3475854000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 390 (or 371 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

The square root of 3475854000 is about 58956.3737012378. The cubic root of 3475854000 is about 1514.7949269852.

The spelling of 3475854000 in words is "three billion, four hundred seventy-five million, eight hundred fifty-four thousand".