3642034440 has 256 divisors, whose sum is σ = 12744864000. Its totient is φ = 822804480.

The previous prime is 3642034427. The next prime is 3642034471. The reversal of 3642034440 is 444302463.

It is a super-2 number, since 2×3642034440² = 26528829724292227200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 3642034398 and 3642034407.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2445216 + ... + 2446704.

It is an arithmetic number, because the mean of its divisors is an integer number (49784625).

Almost surely, 2^3642034440 is an apocalyptic number.

3642034440 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 3642034440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6372432000).

3642034440 is an abundant number, since it is smaller than the sum of its proper divisors (9102829560).

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

3642034440 is a wasteful number, since it uses less digits than its factorization.

3642034440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1640 (or 1636 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 30.

The square root of 3642034440 is about 60349.2704181252. The cubic root of 3642034440 is about 1538.5608695276.

The spelling of 3642034440 in words is "three billion, six hundred forty-two million, thirty-four thousand, four hundred forty".