3795012000 has 960 divisors, whose sum is σ = 16182470304. Its totient is φ = 862617600.

The previous prime is 3795011963. The next prime is 3795012037. The reversal of 3795012000 is 2105973.

It is an interprime number because it is at equal distance from previous prime (3795011963) and next prime (3795012037).

It can be written as a sum of positive squares in 16 ways, for example, as 80353296 + 3714658704 = 8964^2 + 60948^2 .

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 (13) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 71603974 + ... + 71604026.

Almost surely, 2^3795012000 is an apocalyptic number.

3795012000 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 3795012000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8091235152).

3795012000 is an abundant number, since it is smaller than the sum of its proper divisors (12387458304).

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

3795012000 is a wasteful number, since it uses less digits than its factorization.

3795012000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 1890, while the sum is 27.

The square root of 3795012000 is about 61603.6687219195. The cubic root of 3795012000 is about 1559.8076685963.

Adding to 3795012000 its reverse (2105973), we get a palindrome (3797117973).

It can be divided in two parts, 379501 and 2000, that added together give a triangular number (381501 = T₈₇₃).

The spelling of 3795012000 in words is "three billion, seven hundred ninety-five million, twelve thousand".