3629699640 has 256 divisors, whose sum is σ = 13895884800. Its totient is φ = 825541632.

The previous prime is 3629699639. The next prime is 3629699641. The reversal of 3629699640 is 469969263.

3629699640 is a `hidden beast` number, since 3 + 629 + 6 + 9 + 9 + 6 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (3629699639) and next prime (3629699641).

It is a super-2 number, since 2×3629699640² = 26349438953232259200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3629699641) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1684804 + ... + 1686956.

It is an arithmetic number, because the mean of its divisors is an integer number (54280800).

Almost surely, 2^3629699640 is an apocalyptic number.

3629699640 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 3629699640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6947942400).

3629699640 is an abundant number, since it is smaller than the sum of its proper divisors (10266185160).

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

3629699640 is a wasteful number, since it uses less digits than its factorization.

3629699640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2403 (or 2393 counting only the distinct ones).

The product of its (nonzero) digits is 3779136, while the sum is 54.

The square root of 3629699640 is about 60246.9886384374. The cubic root of 3629699640 is about 1536.8219782593.

The spelling of 3629699640 in words is "three billion, six hundred twenty-nine million, six hundred ninety-nine thousand, six hundred forty".