3761013000 has 256 divisors, whose sum is σ = 12451645440. Its totient is φ = 943488000.

The previous prime is 3761012999. The next prime is 3761013049. The reversal of 3761013000 is 3101673.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3440454 + ... + 3441546.

It is an arithmetic number, because the mean of its divisors is an integer number (48639240).

Almost surely, 2^3761013000 is an apocalyptic number.

3761013000 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 3761013000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6225822720).

3761013000 is an abundant number, since it is smaller than the sum of its proper divisors (8690632440).

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

3761013000 is a wasteful number, since it uses less digits than its factorization.

3761013000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1185 (or 1171 counting only the distinct ones).

The product of its (nonzero) digits is 378, while the sum is 21.

The square root of 3761013000 is about 61327.0984149748. The cubic root of 3761013000 is about 1555.1356532918.

Adding to 3761013000 its reverse (3101673), we get a palindrome (3764114673).

The spelling of 3761013000 in words is "three billion, seven hundred sixty-one million, thirteen thousand".