3766667904 has 96 divisors (see below), whose sum is σ = 11091194400. Its totient is φ = 1226340864.

The previous prime is 3766667899. The next prime is 3766667941. The reversal of 3766667904 is 4097666673.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11517 + ... + 87555.

It is an arithmetic number, because the mean of its divisors is an integer number (115533275).

Almost surely, 2^3766667904 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 3766667904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5545597200).

3766667904 is an abundant number, since it is smaller than the sum of its proper divisors (7324526496).

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

3766667904 is a wasteful number, since it uses less digits than its factorization.

3766667904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76102 (or 76087 counting only the distinct ones).

The product of its (nonzero) digits is 6858432, while the sum is 54.

The square root of 3766667904 is about 61373.1855454807. The cubic root of 3766667904 is about 1555.9146755926.

It can be divided in two parts, 37666 and 67904, that added together give a triangular number (105570 = T₄₅₉).

The spelling of 3766667904 in words is "three billion, seven hundred sixty-six million, six hundred sixty-seven thousand, nine hundred four".