3766125440 has 128 divisors (see below), whose sum is σ = 11225157120. Its totient is φ = 1173841920.

The previous prime is 3766125431. The next prime is 3766125449. The reversal of 3766125440 is 445216673.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (3766125431) and next prime (3766125449).

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-3 number, since 3×3766125440³ (a number of 30 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (38) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 3766125394 and 3766125403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3766125449) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11069 + ... + 87491.

It is an arithmetic number, because the mean of its divisors is an integer number (87696540).

Almost surely, 2^3766125440 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3766125440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5612578560).

3766125440 is an abundant number, since it is smaller than the sum of its proper divisors (7459031680).

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

3766125440 is a wasteful number, since it uses less digits than its factorization.

3766125440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76460 (or 76448 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 38.

The square root of 3766125440 is about 61368.7659970445. The cubic root of 3766125440 is about 1555.8399793144.

The spelling of 3766125440 in words is "three billion, seven hundred sixty-six million, one hundred twenty-five thousand, four hundred forty".