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3442789980 = 22365726179
BaseRepresentation
bin1100110100110100…
…1100111001011100
322212221012212000000
43031031030321130
524022323234410
61325342534300
7151213142400
oct31515147134
98787185000
103442789980
111507402083
12800b97390
1342b358546
14249349100
151523aadc0
hexcd34ce5c

3442789980 has 504 divisors, whose sum is σ = 12978544320. Its totient is φ = 764225280.

The previous prime is 3442789943. The next prime is 3442790069. The reversal of 3442789980 is 899872443.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

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 167 ways as a sum of consecutive naturals, for example, 43579581 + ... + 43579659.

It is an arithmetic number, because the mean of its divisors is an integer number (25751080).

Almost surely, 23442789980 is an apocalyptic number.

3442789980 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 3442789980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6489272160).

3442789980 is an abundant number, since it is smaller than the sum of its proper divisors (9535754340).

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

3442789980 is a wasteful number, since it uses less digits than its factorization.

3442789980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The square root of 3442789980 is about 58675.2927559803. The cubic root of 3442789980 is about 1509.9764597298.

The spelling of 3442789980 in words is "three billion, four hundred forty-two million, seven hundred eighty-nine thousand, nine hundred eighty".