3642838405920 has 576 divisors, whose sum is σ = 15056680101120. Its totient is φ = 805782712320.

The previous prime is 3642838405903. The next prime is 3642838405939. The reversal of 3642838405920 is 295048382463.

3642838405920 is a `hidden beast` number, since 3 + 6 + 4 + 2 + 8 + 3 + 8 + 40 + 592 + 0 = 666.

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

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, 28997964 + ... + 29123316.

It is an arithmetic number, because the mean of its divisors is an integer number (26140069620).

Almost surely, 2^{3642838405920} is an apocalyptic number.

3642838405920 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 3642838405920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7528340050560).

3642838405920 is an abundant number, since it is smaller than the sum of its proper divisors (11413841695200).

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

3642838405920 is a wasteful number, since it uses less digits than its factorization.

3642838405920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125446 (or 125401 counting only the distinct ones).

The product of its (nonzero) digits is 9953280, while the sum is 54.

The spelling of 3642838405920 in words is "three trillion, six hundred forty-two billion, eight hundred thirty-eight million, four hundred five thousand, nine hundred twenty".