3493724640 has 96 divisors (see below), whose sum is σ = 12577420800. Its totient is φ = 798564864.

The previous prime is 3493724639. The next prime is 3493724651. The reversal of 3493724640 is 464273943.

It is a happy number.

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

It is a super-2 number, since 2×3493724640² = 24412223720286259200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 3493724592 and 3493724601.

It is a congruent number.

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, 516540 + ... + 523259.

It is an arithmetic number, because the mean of its divisors is an integer number (131014800).

Almost surely, 2^3493724640 is an apocalyptic number.

3493724640 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3493724640 is an abundant number, since it is smaller than the sum of its proper divisors (9083696160).

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

3493724640 is a wasteful number, since it uses less digits than its factorization.

3493724640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1039824 (or 1039816 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 42.

The square root of 3493724640 is about 59107.7375645524. The cubic root of 3493724640 is about 1517.3865293176.

The spelling of 3493724640 in words is "three billion, four hundred ninety-three million, seven hundred twenty-four thousand, six hundred forty".