3767480640 has 672 divisors, whose sum is σ = 16887139200. Its totient is φ = 781885440.

The previous prime is 3767480581. The next prime is 3767480641. The reversal of 3767480640 is 460847673.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3767480641) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4656556 + ... + 4657364.

Almost surely, 2^3767480640 is an apocalyptic number.

3767480640 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 3767480640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8443569600).

3767480640 is an abundant number, since it is smaller than the sum of its proper divisors (13119658560).

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

3767480640 is a wasteful number, since it uses less digits than its factorization.

3767480640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 860 (or 837 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 45.

The square root of 3767480640 is about 61379.8064513077. The cubic root of 3767480640 is about 1556.0265743992.

The spelling of 3767480640 in words is "three billion, seven hundred sixty-seven million, four hundred eighty thousand, six hundred forty".