3764411640 has 288 divisors, whose sum is σ = 13612762800. Its totient is φ = 901401600.

The previous prime is 3764411639. The next prime is 3764411681. The reversal of 3764411640 is 461144673.

3764411640 is a `hidden beast` number, since 3 + 7 + 6 + 4 + 4 + 1 + 1 + 640 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 3764411595 and 3764411604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3876355 + ... + 3877325.

Almost surely, 2^3764411640 is an apocalyptic number.

3764411640 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 3764411640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6806381400).

3764411640 is an abundant number, since it is smaller than the sum of its proper divisors (9848351160).

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

3764411640 is a wasteful number, since it uses less digits than its factorization.

3764411640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1099 (or 1081 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 3764411640 is about 61354.8012791175. The cubic root of 3764411640 is about 1555.6039451236.

It can be divided in two parts, 37644 and 11640, that added together give a square (49284 = 222²).

The spelling of 3764411640 in words is "three billion, seven hundred sixty-four million, four hundred eleven thousand, six hundred forty".