3640688142 has 192 divisors, whose sum is σ = 9752581440. Its totient is φ = 894910464.

The previous prime is 3640688131. The next prime is 3640688221. The reversal of 3640688142 is 2418860463.

It is a super-2 number, since 2×3640688142² = 26509220294598824328, which contains 22 as substring.

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 = 3640688094 and 3640688103.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8901234 + ... + 8901642.

It is an arithmetic number, because the mean of its divisors is an integer number (50794695).

Almost surely, 2^3640688142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3640688142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4876290720).

3640688142 is an abundant number, since it is smaller than the sum of its proper divisors (6111893298).

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

3640688142 is a wasteful number, since it uses less digits than its factorization.

3640688142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 595 (or 588 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 42.

The square root of 3640688142 is about 60338.1151677777. The cubic root of 3640688142 is about 1538.3712670093.

The spelling of 3640688142 in words is "three billion, six hundred forty million, six hundred eighty-eight thousand, one hundred forty-two".