3629192640 has 336 divisors, whose sum is σ = 12456517632. Its totient is φ = 894910464.

The previous prime is 3629192587. The next prime is 3629192653. The reversal of 3629192640 is 462919263.

It is a junction number, because it is equal to n+sod(n) for n = 3629192592 and 3629192601.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 28576257 + ... + 28576383.

Almost surely, 2^3629192640 is an apocalyptic number.

3629192640 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 3629192640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6228258816).

3629192640 is an abundant number, since it is smaller than the sum of its proper divisors (8827324992).

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

3629192640 is a wasteful number, since it uses less digits than its factorization.

3629192640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 284 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 42.

The square root of 3629192640 is about 60242.7808123098. The cubic root of 3629192640 is about 1536.7504199944.

The spelling of 3629192640 in words is "three billion, six hundred twenty-nine million, one hundred ninety-two thousand, six hundred forty".