3642933840 has 320 divisors, whose sum is σ = 14632396800. Its totient is φ = 728082432.

The previous prime is 3642933829. The next prime is 3642933871. The reversal of 3642933840 is 483392463.

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 = 3642933792 and 3642933801.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 410571 + ... + 419349.

It is an arithmetic number, because the mean of its divisors is an integer number (45726240).

Almost surely, 2^3642933840 is an apocalyptic number.

3642933840 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 3642933840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7316198400).

3642933840 is an abundant number, since it is smaller than the sum of its proper divisors (10989462960).

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

3642933840 is a wasteful number, since it uses less digits than its factorization.

3642933840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8834 (or 8828 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 42.

The square root of 3642933840 is about 60356.7215809474. The cubic root of 3642933840 is about 1538.6875082489.

The spelling of 3642933840 in words is "three billion, six hundred forty-two million, nine hundred thirty-three thousand, eight hundred forty".