3734864640 has 720 divisors, whose sum is σ = 15332109408. Its totient is φ = 859963392.

The previous prime is 3734864611. The next prime is 3734864699. The reversal of 3734864640 is 464684373.

It is a tau number, because it is divible by the number of its divisors (720).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 22913199 + ... + 22913361.

Almost surely, 2^3734864640 is an apocalyptic number.

3734864640 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 3734864640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7666054704).

3734864640 is an abundant number, since it is smaller than the sum of its proper divisors (11597244768).

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

3734864640 is a wasteful number, since it uses less digits than its factorization.

3734864640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 226 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 45.

The square root of 3734864640 is about 61113.5389255114. The cubic root of 3734864640 is about 1551.5232531488.

The spelling of 3734864640 in words is "three billion, seven hundred thirty-four million, eight hundred sixty-four thousand, six hundred forty".