3629070720 has 576 divisors, whose sum is σ = 14221509120. Its totient is φ = 851558400.

The previous prime is 3629070713. The next prime is 3629070779. The reversal of 3629070720 is 270709263.

3629070720 is a `hidden beast` number, since 3 + 629 + 0 + 7 + 0 + 7 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×3629070720² = 26340308581522636800, which contains 22 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 polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 28575297 + ... + 28575423.

It is an arithmetic number, because the mean of its divisors is an integer number (24690120).

Almost surely, 2^3629070720 is an apocalyptic number.

3629070720 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 3629070720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7110754560).

3629070720 is an abundant number, since it is smaller than the sum of its proper divisors (10592438400).

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

3629070720 is a wasteful number, since it uses less digits than its factorization.

3629070720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 215 (or 189 counting only the distinct ones).

The product of its (nonzero) digits is 31752, while the sum is 36.

The square root of 3629070720 is about 60241.7688983317. The cubic root of 3629070720 is about 1536.7332111432.

Adding to 3629070720 its reverse (270709263), we get a palindrome (3899779983).

The spelling of 3629070720 in words is "three billion, six hundred twenty-nine million, seventy thousand, seven hundred twenty".