3722028408 has 240 divisors, whose sum is σ = 12580040880. Its totient is φ = 1007023104.

The previous prime is 3722028379. The next prime is 3722028413. The reversal of 3722028408 is 8048202273.

3722028408 is a `hidden beast` number, since 3 + 7 + 220 + 28 + 408 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 59 ways as a sum of consecutive naturals, for example, 1636360 + ... + 1638632.

It is an arithmetic number, because the mean of its divisors is an integer number (52416837).

Almost surely, 2^3722028408 is an apocalyptic number.

3722028408 is a gapful number since it is divisible by the number (38) 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 3722028408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6290020440).

3722028408 is an abundant number, since it is smaller than the sum of its proper divisors (8858012472).

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

3722028408 is a wasteful number, since it uses less digits than its factorization.

3722028408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2336 (or 2304 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 3722028408 is about 61008.4289914107. The cubic root of 3722028408 is about 1549.7437534078.

The spelling of 3722028408 in words is "three billion, seven hundred twenty-two million, twenty-eight thousand, four hundred eight".