3625349400 has 240 divisors, whose sum is σ = 12808164600. Its totient is φ = 950123520.

The previous prime is 3625349369. The next prime is 3625349411. The reversal of 3625349400 is 49435263.

3625349400 is a `hidden beast` number, since 36 + 2 + 534 + 94 + 0 + 0 = 666.

It is a super-3 number, since 3×3625349400³ (a number of 30 digits) contains 333 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 953904 + ... + 957696.

Almost surely, 2^3625349400 is an apocalyptic number.

3625349400 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 3625349400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6404082300).

3625349400 is an abundant number, since it is smaller than the sum of its proper divisors (9182815200).

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

3625349400 is a wasteful number, since it uses less digits than its factorization.

3625349400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3880 (or 3862 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

The square root of 3625349400 is about 60210.8744331122. The cubic root of 3625349400 is about 1536.2077660848.

The spelling of 3625349400 in words is "three billion, six hundred twenty-five million, three hundred forty-nine thousand, four hundred".