3764861400 has 192 divisors, whose sum is σ = 12384028800. Its totient is φ = 943488000.

The previous prime is 3764861393. The next prime is 3764861437. The reversal of 3764861400 is 41684673.

3764861400 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3764861400² = 28348362722419920000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1492140 + ... + 1494660.

It is an arithmetic number, because the mean of its divisors is an integer number (64500150).

Almost surely, 2^3764861400 is an apocalyptic number.

3764861400 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 3764861400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6192014400).

3764861400 is an abundant number, since it is smaller than the sum of its proper divisors (8619167400).

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

3764861400 is a wasteful number, since it uses less digits than its factorization.

3764861400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2690 (or 2681 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 39.

The square root of 3764861400 is about 61358.4664084754. The cubic root of 3764861400 is about 1555.6658955367.

The spelling of 3764861400 in words is "three billion, seven hundred sixty-four million, eight hundred sixty-one thousand, four hundred".