3629068800 has 480 divisors, whose sum is σ = 14321083392. Its totient is φ = 792084480.

The previous prime is 3629068771. The next prime is 3629068801. The reversal of 3629068800 is 88609263.

It is a tau number, because it is divible by the number of its divisors (480).

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3629068801) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6182107 + ... + 6182693.

Almost surely, 2^3629068800 is an apocalyptic number.

3629068800 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 3629068800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7160541696).

3629068800 is an abundant number, since it is smaller than the sum of its proper divisors (10692014592).

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

3629068800 is a wasteful number, since it uses less digits than its factorization.

3629068800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 648 (or 627 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 42.

The square root of 3629068800 is about 60241.7529625425. The cubic root of 3629068800 is about 1536.7329401345.

The spelling of 3629068800 in words is "three billion, six hundred twenty-nine million, sixty-eight thousand, eight hundred".