3622028400 has 150 divisors (see below), whose sum is σ = 12999285552. Its totient is φ = 965865600.

The previous prime is 3622028359. The next prime is 3622028429. The reversal of 3622028400 is 48202263.

3622028400 is a `hidden beast` number, since 36 + 220 + 2 + 8 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (150).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 23496 + ... + 88295.

Almost surely, 2^3622028400 is an apocalyptic number.

3622028400 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 3622028400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6499642776).

3622028400 is an abundant number, since it is smaller than the sum of its proper divisors (9377257152).

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

3622028400 is a wasteful number, since it uses less digits than its factorization.

3622028400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111821 (or 111801 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 3622028400 is about 60183.2900396780. The cubic root of 3622028400 is about 1535.7385419229.

It can be divided in two parts, 36220 and 28400, that added together give a triangular number (64620 = T₃₅₉).

The spelling of 3622028400 in words is "three billion, six hundred twenty-two million, twenty-eight thousand, four hundred".