3525020400 has 240 divisors, whose sum is σ = 12425776128. Its totient is φ = 854163200.

The previous prime is 3525020399. The next prime is 3525020413. The reversal of 3525020400 is 40205253.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

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, 1596097 + ... + 1598303.

Almost surely, 2^3525020400 is an apocalyptic number.

3525020400 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 3525020400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6212888064).

3525020400 is an abundant number, since it is smaller than the sum of its proper divisors (8900755728).

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

3525020400 is a wasteful number, since it uses less digits than its factorization.

3525020400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2261 (or 2228 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 21.

The square root of 3525020400 is about 59371.8822339329. The cubic root of 3525020400 is about 1521.9038355508.

Adding to 3525020400 its reverse (40205253), we get a palindrome (3565225653).

The spelling of 3525020400 in words is "three billion, five hundred twenty-five million, twenty thousand, four hundred".