3772164000 has 576 divisors, whose sum is σ = 14630668416. Its totient is φ = 839680000.

The previous prime is 3772163987. The next prime is 3772164029. The reversal of 3772164000 is 4612773.

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

It is a congruent number.

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, 92003980 + ... + 92004020.

It is an arithmetic number, because the mean of its divisors is an integer number (25400466).

Almost surely, 2^3772164000 is an apocalyptic number.

3772164000 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 3772164000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7315334208).

3772164000 is an abundant number, since it is smaller than the sum of its proper divisors (10858504416).

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

3772164000 is a wasteful number, since it uses less digits than its factorization.

3772164000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 79 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 30.

The square root of 3772164000 is about 61417.9452603227. The cubic root of 3772164000 is about 1556.6710736216.

Adding to 3772164000 its reverse (4612773), we get a palindrome (3776776773).

The spelling of 3772164000 in words is "three billion, seven hundred seventy-two million, one hundred sixty-four thousand".