3493657440 has 384 divisors, whose sum is σ = 15051294720. Its totient is φ = 737040384.

The previous prime is 3493657417. The next prime is 3493657481. The reversal of 3493657440 is 447563943.

3493657440 is a `hidden beast` number, since 3 + 4 + 9 + 36 + 574 + 40 = 666.

3493657440 is digitally balanced in base 2, because in such base 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 (45).

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, 388677 + ... + 397563.

It is an arithmetic number, because the mean of its divisors is an integer number (39196080).

Almost surely, 2^3493657440 is an apocalyptic number.

3493657440 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 3493657440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7525647360).

3493657440 is an abundant number, since it is smaller than the sum of its proper divisors (11557637280).

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

3493657440 is a wasteful number, since it uses less digits than its factorization.

3493657440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8931 (or 8917 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 45.

The square root of 3493657440 is about 59107.1691083239. The cubic root of 3493657440 is about 1517.3768005383.

The spelling of 3493657440 in words is "three billion, four hundred ninety-three million, six hundred fifty-seven thousand, four hundred forty".