3754337664 has 576 divisors, whose sum is σ = 13640341680. Its totient is φ = 908328960.

The previous prime is 3754337603. The next prime is 3754337683. The reversal of 3754337664 is 4667334573.

3754337664 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 Harshad number since it is a multiple of its sum of digits (48).

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, 38704464 + ... + 38704560.

Almost surely, 2^3754337664 is an apocalyptic number.

3754337664 is a gapful number since it is divisible by the number (34) 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 3754337664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6820170840).

3754337664 is an abundant number, since it is smaller than the sum of its proper divisors (9886004016).

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

3754337664 is a wasteful number, since it uses less digits than its factorization.

3754337664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167 (or 137 counting only the distinct ones).

The product of its digits is 3810240, while the sum is 48.

The square root of 3754337664 is about 61272.6502119828. The cubic root of 3754337664 is about 1554.2150501837.

The spelling of 3754337664 in words is "three billion, seven hundred fifty-four million, three hundred thirty-seven thousand, six hundred sixty-four".