3734640 has 320 divisors, whose sum is σ = 16665600. Its totient is φ = 746496.

The previous prime is 3734617. The next prime is 3734657. The reversal of 3734640 is 464373.

3734640 = 326² + 327² + ... + 357².

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an Ulam number.

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 196551 + ... + 196569.

It is an arithmetic number, because the mean of its divisors is an integer number (52080).

Almost surely, 2^3734640 is an apocalyptic number.

3734640 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 3734640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8332800).

3734640 is an abundant number, since it is smaller than the sum of its proper divisors (12930960).

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

3734640 is a wasteful number, since it uses less digits than its factorization.

3734640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61 (or 49 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 27.

The square root of 3734640 is about 1932.5216687013. The cubic root of 3734640 is about 155.1492146161.

The spelling of 3734640 in words is "three million, seven hundred thirty-four thousand, six hundred forty".