3761400000 has 168 divisors, whose sum is σ = 12441234960. Its totient is φ = 1002880000.

The previous prime is 3761399981. The next prime is 3761400011. The reversal of 3761400000 is 41673.

It is a self number, because there is not a number n which added to its sum of digits gives 3761400000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 596866 + ... + 603134.

It is an arithmetic number, because the mean of its divisors is an integer number (74054970).

Almost surely, 2^3761400000 is an apocalyptic number.

3761400000 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 3761400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6220617480).

3761400000 is an abundant number, since it is smaller than the sum of its proper divisors (8679834960).

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

3761400000 is an frugal number, since it uses more digits than its factorization.

3761400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6309 (or 6279 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 21.

The square root of 3761400000 is about 61330.2535458643. The cubic root of 3761400000 is about 1555.1889914799.

Adding to 3761400000 its reverse (41673), we get a palindrome (3761441673).

The spelling of 3761400000 in words is "three billion, seven hundred sixty-one million, four hundred thousand".