3629666040 has 768 divisors, whose sum is σ = 15315471360. Its totient is φ = 669081600.

The previous prime is 3629666023. The next prime is 3629666059. The reversal of 3629666040 is 406669263.

3629666040 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 3629665983 and 3629666001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 54174087 + ... + 54174153.

It is an arithmetic number, because the mean of its divisors is an integer number (19942020).

Almost surely, 2^3629666040 is an apocalyptic number.

3629666040 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 3629666040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7657735680).

3629666040 is an abundant number, since it is smaller than the sum of its proper divisors (11685805320).

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

3629666040 is a wasteful number, since it uses less digits than its factorization.

3629666040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 42.

The square root of 3629666040 is about 60246.7097856804. The cubic root of 3629666040 is about 1536.8172361426.

The spelling of 3629666040 in words is "three billion, six hundred twenty-nine million, six hundred sixty-six thousand, forty".