3525476400 has 300 divisors, whose sum is σ = 12734164872. Its totient is φ = 934087680.

The previous prime is 3525476393. The next prime is 3525476401. The reversal of 3525476400 is 46745253.

3525476400 is a `hidden beast` number, since 3 + 5 + 2 + 5 + 4 + 7 + 640 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (300).

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

It is not an unprimeable number, because it can be changed into a prime (3525476401) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 7548967 + ... + 7549433.

Almost surely, 2^3525476400 is an apocalyptic number.

3525476400 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 3525476400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6367082436).

3525476400 is an abundant number, since it is smaller than the sum of its proper divisors (9208688472).

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

3525476400 is a wasteful number, since it uses less digits than its factorization.

3525476400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 730 (or 710 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 36.

The square root of 3525476400 is about 59375.7223113959. The cubic root of 3525476400 is about 1521.9694576984.

The spelling of 3525476400 in words is "three billion, five hundred twenty-five million, four hundred seventy-six thousand, four hundred".