3736464 has 80 divisors (see below), whose sum is σ = 10802880. Its totient is φ = 1105920.

The previous prime is 3736429. The next prime is 3736471. The reversal of 3736464 is 4646373.

It is a super-2 number, since 2×3736464² = 27922326446592, which contains 22 as substring.

Its product of digits (36288) is a multiple of the sum of its prime factors (288).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15384 + ... + 15624.

It is an arithmetic number, because the mean of its divisors is an integer number (135036).

Almost surely, 2^3736464 is an apocalyptic number.

3736464 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 3736464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5401440).

3736464 is an abundant number, since it is smaller than the sum of its proper divisors (7066416).

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

3736464 is a wasteful number, since it uses less digits than its factorization.

3736464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 288 (or 282 counting only the distinct ones).

The product of its digits is 36288, while the sum is 33.

The square root of 3736464 is about 1932.9935333570. The cubic root of 3736464 is about 155.1744688225.

Subtracting 3736464 from its reverse (4646373), we obtain a palindrome (909909).

The spelling of 3736464 in words is "three million, seven hundred thirty-six thousand, four hundred sixty-four".