3420351528 has 192 divisors, whose sum is σ = 10054800000. Its totient is φ = 966451200.

The previous prime is 3420351527. The next prime is 3420351559. The reversal of 3420351528 is 8251530243.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (3420351527) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2737848 + ... + 2739096.

It is an arithmetic number, because the mean of its divisors is an integer number (52368750).

Almost surely, 2^3420351528 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3420351528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5027400000).

3420351528 is an abundant number, since it is smaller than the sum of its proper divisors (6634448472).

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

3420351528 is a wasteful number, since it uses less digits than its factorization.

3420351528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1344 (or 1329 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 33.

The square root of 3420351528 is about 58483.7714926115. The cubic root of 3420351528 is about 1506.6888732032.

The spelling of 3420351528 in words is "three billion, four hundred twenty million, three hundred fifty-one thousand, five hundred twenty-eight".