3485952000 has 576 divisors, whose sum is σ = 13453549200. Its totient is φ = 865075200.

The previous prime is 3485951981. The next prime is 3485952011. The reversal of 3485952000 is 2595843.

3485952000 is a `hidden beast` number, since 3 + 48 + 595 + 20 + 0 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 90326016 + 3395625984 = 9504^2 + 58272^2 .

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×3485952000² = 24303722692608000000, 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 47 ways as a sum of consecutive naturals, for example, 39167956 + ... + 39168044.

Almost surely, 2^3485952000 is an apocalyptic number.

3485952000 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 3485952000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6726774600).

3485952000 is an abundant number, since it is smaller than the sum of its proper divisors (9967597200).

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

3485952000 is a wasteful number, since it uses less digits than its factorization.

3485952000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 3485952000 is about 59041.9511872702. The cubic root of 3485952000 is about 1516.2604287081.

The spelling of 3485952000 in words is "three billion, four hundred eighty-five million, nine hundred fifty-two thousand".