3525032400 has 120 divisors (see below), whose sum is σ = 11567426304. Its totient is φ = 917068800.

The previous prime is 3525032369. The next prime is 3525032429. The reversal of 3525032400 is 42305253.

3525032400 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13377 + ... + 85023.

Almost surely, 2^3525032400 is an apocalyptic number.

3525032400 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 3525032400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5783713152).

3525032400 is an abundant number, since it is smaller than the sum of its proper divisors (8042393904).

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

3525032400 is a wasteful number, since it uses less digits than its factorization.

3525032400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71709 (or 71698 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 24.

The square root of 3525032400 is about 59371.9832917850. The cubic root of 3525032400 is about 1521.9055625219.

Adding to 3525032400 its reverse (42305253), we get a palindrome (3567337653).

It can be divided in two parts, 352503 and 2400, that added together give a triangular number (354903 = T₈₄₂).

The spelling of 3525032400 in words is "three billion, five hundred twenty-five million, thirty-two thousand, four hundred".