3628053504 has 440 divisors, whose sum is σ = 11984087808. Its totient is φ = 1088225280.

The previous prime is 3628053503. The next prime is 3628053523. The reversal of 3628053504 is 4053508263.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3628053503) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 43711447 + ... + 43711529.

Almost surely, 2^3628053504 is an apocalyptic number.

3628053504 is a gapful number since it is divisible by the number (34) 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 3628053504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5992043904).

3628053504 is an abundant number, since it is smaller than the sum of its proper divisors (8356034304).

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

3628053504 is a wasteful number, since it uses less digits than its factorization.

3628053504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The square root of 3628053504 is about 60233.3255266551. The cubic root of 3628053504 is about 1536.5896173873.

The spelling of 3628053504 in words is "three billion, six hundred twenty-eight million, fifty-three thousand, five hundred four".