3493719552 has 160 divisors (see below), whose sum is σ = 9868430880. Its totient is φ = 1096417280.

The previous prime is 3493719533. The next prime is 3493719571. The reversal of 3493719552 is 2559173943.

It is an interprime number because it is at equal distance from previous prime (3493719533) and next prime (3493719571).

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 1825348 + ... + 1827260.

It is an arithmetic number, because the mean of its divisors is an integer number (61677693).

Almost surely, 2^3493719552 is an apocalyptic number.

3493719552 is a gapful number since it is divisible by the number (32) 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 3493719552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4934215440).

3493719552 is an abundant number, since it is smaller than the sum of its proper divisors (6374711328).

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

3493719552 is a wasteful number, since it uses less digits than its factorization.

3493719552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2004 (or 1988 counting only the distinct ones).

The product of its digits is 1020600, while the sum is 48.

The square root of 3493719552 is about 59107.6945244864. The cubic root of 3493719552 is about 1517.3857927144.

The spelling of 3493719552 in words is "three billion, four hundred ninety-three million, seven hundred nineteen thousand, five hundred fifty-two".