3653958438 has 192 divisors, whose sum is σ = 9478560000. Its totient is φ = 1045560960.

The previous prime is 3653958403. The next prime is 3653958463. The reversal of 3653958438 is 8348593563.

It is a happy number.

3653958438 is a `hidden beast` number, since 3 + 6 + 53 + 9 + 584 + 3 + 8 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7322313 + ... + 7322811.

It is an arithmetic number, because the mean of its divisors is an integer number (49367500).

Almost surely, 2^3653958438 is an apocalyptic number.

3653958438 is a gapful number since it is divisible by the number (38) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3653958438, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4739280000).

3653958438 is an abundant number, since it is smaller than the sum of its proper divisors (5824601562).

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

3653958438 is a wasteful number, since it uses less digits than its factorization.

3653958438 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 609 (or 597 counting only the distinct ones).

The product of its digits is 9331200, while the sum is 54.

The square root of 3653958438 is about 60447.9812566144. The cubic root of 3653958438 is about 1540.2381199791.

The spelling of 3653958438 in words is "three billion, six hundred fifty-three million, nine hundred fifty-eight thousand, four hundred thirty-eight".