3766246400 has 132 divisors (see below), whose sum is σ = 10669913808. Its totient is φ = 1291223040.

The previous prime is 3766246361. The next prime is 3766246403. The reversal of 3766246400 is 46426673.

It is a super-2 number, since 2×3766246400² = 28369223891025920000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3766246403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 168692 + ... + 189708.

Almost surely, 2^3766246400 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 3766246400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5334956904).

3766246400 is an abundant number, since it is smaller than the sum of its proper divisors (6903667408).

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

3766246400 is a wasteful number, since it uses less digits than its factorization.

3766246400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21054 (or 21031 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 38.

The square root of 3766246400 is about 61369.7515067480. The cubic root of 3766246400 is about 1555.8566359015.

The spelling of 3766246400 in words is "three billion, seven hundred sixty-six million, two hundred forty-six thousand, four hundred".