3765140400 has 180 divisors, whose sum is σ = 14030361672. Its totient is φ = 860590080.

The previous prime is 3765140381. The next prime is 3765140419. The reversal of 3765140400 is 40415673.

It is an interprime number because it is at equal distance from previous prime (3765140381) and next prime (3765140419).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 26784 + ... + 90816.

Almost surely, 2^3765140400 is an apocalyptic number.

3765140400 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 3765140400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7015180836).

3765140400 is an abundant number, since it is smaller than the sum of its proper divisors (10265221272).

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

3765140400 is a wasteful number, since it uses less digits than its factorization.

3765140400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64068 (or 64050 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 30.

The square root of 3765140400 is about 61360.7398912366. The cubic root of 3765140400 is about 1555.7043228091.

The spelling of 3765140400 in words is "three billion, seven hundred sixty-five million, one hundred forty thousand, four hundred".