3629011680 has 384 divisors, whose sum is σ = 14875176960. Its totient is φ = 808980480.

The previous prime is 3629011637. The next prime is 3629011693. The reversal of 3629011680 is 861109263.

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 63 ways as a sum of consecutive naturals, for example, 1238377 + ... + 1241303.

It is an arithmetic number, because the mean of its divisors is an integer number (38737440).

Almost surely, 2^3629011680 is an apocalyptic number.

3629011680 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 3629011680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7437588480).

3629011680 is an abundant number, since it is smaller than the sum of its proper divisors (11246165280).

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

3629011680 is a wasteful number, since it uses less digits than its factorization.

3629011680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2999 (or 2985 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 3629011680 is about 60241.2788708872. The cubic root of 3629011680 is about 1536.7248775845.

The spelling of 3629011680 in words is "three billion, six hundred twenty-nine million, eleven thousand, six hundred eighty".